Australia riding on a magnificent century by Shane Watson (122) beat West Indies by 39 runs to take an unassailable 3-0 lead in the five-match series.
The 31-year-old opener's 111-ball knock on Wednesday helped Australia to 329 for seven in their 50 overs and West Indies flirted with reaching the big victory target before James Faulkner (4-48) polished them off for 290 with 15 balls to spare.
Darren Bravo top scored with 86 for West Indies, who will be playing only for pride in the remaining two matches in Sydney and Melbourne after a third emphatic defeat.
It was the first one-day international ever played in the nation's capital and the Manuka Oval track certainly gave the batsmen plenty of opportunity to score runs.
Watson, who missed much of the domestic season through injury, reached his seventh ODI century in 102 balls and then conjured up two fours and two sixes in the next nine balls before holing out to Kieron Pollard at backward square leg.
"I've been dreaming of that for the last four weeks," Watson, one of whose sixes was measured at 114 metres, said in a televised interview.
"It was one of those days that you dream of when even from the first ball it feels like everything's coming off the middle of your bat. I'm just so excited to be out here and playing."
Phil Hughes offered able support with 86 runs before being caught behind off the bowling of Darren Sammy, while the innings of Glenn Maxwell (4) and George Bailey (44) were both ended by stunning leaping catches from Pollard on the boundary.
West Indies started their run-chase at a slow pace but soon picked up with typical flourish to match Australia's run rate at around the 30 over mark.
Left-arm seamer Faulkner made two crucial interventions, however, the first when he bowled dangerman Chris Gayle (2) and Darren Bravo in the space of four balls to leave West Indies at 215-5.
He returned to end the match by claiming the wickets of Sunil Narine (1) and Darren Sammy (8) in three deliveries. All four of his victims in the match were bowled.
S. Watson c Pollard b Roach 122
A. Finch c Thomas b Sammy 38
P. Hughes c Thomas b Sammy 86
M. Clarke c and b Pollard 15
G. Bailey c Pollard b Narine 44
G. Maxwell c Pollard b Narine 4
M. Wade not out 4
J. Faulkner b Bravo 2
M. Johnson not out 8
Extras (b1, w3, nb2) 6
Total (7 wkts; 50 overs) 329
Fall of wickets: 1-89 (Finch), 2-201 (Watson), 3-242 (Clarke), 4-284 (Hughes), 5-299 (Maxwell), 6-317 (Bailey), 7-321 (Faulkner)
Bowling: Roach 9-1-72-1 (1w), Russell 5-0-41-0, Sammy 8-0-49-2 (2nb), DJ Bravo 7-0-39-1, Narine 10-0-55-2 (1w), Gayle 5-0-36-0 (1w), Pollard 6-0-36-1
Did not bat: M. Starc, C. McKay
West Indies innings
K. Powell c Wade b Maxwell 47
D. Thomas c Hughes b McKay 19
Darren Bravo b Faulkner 86
Dwayne Bravo b Starc 51
C. Gayle b Faulkner 2
K. Pollard run out 9
A. Russell c Wade b McKay 43
R. Sarwan b Johnson 12
D. Sammy b Faulkner 8
S. Narine b Faulkner 1
K. Roach not out 1
Extras (lb-4, w-6, nb-1) 11
Total (all out, 47.3 overs) 290
Fall of wickets: 1-54 2-81 3-195 4-214 5-215 6-234 7-264 8-281 9-289
Bowling: McKay 10-1-62-2, Starc 7-0-50-1 (1nb, 1w), Johnson 9-1-59-1 (1w), Faulkner 8.3-1-48-4, Maxwell 10-0-44-1 (2w), Clarke 3-0-23-0 (2w)
Australia won by 39 runs.
Australia lead the five-match series 3-0.
WEST INDIES INNINGS
Sunil Narine is bowled by James Faulkner as Australia scent a series victory against West Indies who lose their ninth wicket.
West Indies are 289-9 after 47.1 overs chasing a daunting target of 330 against Australia in the 3rd one-day international at Manuka Oval in Canberra on Wednesday.
Darren Sammy smashed a huge six off the first ball off Mitchell Johnson in the 47th over.
Andre Russell perishes after making 43 off 31 balls with six boundaries and a six skying an attempted pull shot offf Clint McKay which ballooned in the air for keeper Mathew Wade to take a simple catch.
Andre Russell smashes a couple of consecutive boundaries off Clint McKay in the 46th over to close the gap.
Mitchell Johnson dismisses Ramesh Sarwan bowled to dent West Indies' faint hopes of a victory.
West Indies are going steadily but the asking rate is creeping up as they face a Herculean task to overhaul the massive target and prevent Australia from running away with the ODI series.
The third wicket pair of Darren Bravo and Dwayne brought up their 50 partnership in 51 balls.
Chris Gayle is being held back by the West Indies with Darren Bravo and Dwayne Bravo in the middle after Kieran Powell fell for 47 to a brilliant catch by wicket keeper Mathew Wade.
Wicket keeper Mathew Wade takes a superb catch running to his right to dismiss Kieran Powell who attempted to sweep Glenn Maxwell on the leg side after making 47 off 49 balls with six boundaries.
Left hander Kieran Powell is unbeaten on 43 off 44 balls with six boundaries as West Indies make steady progress despite the dismissal of Devon Thomas making 55 in the mandatory first 10 Powerplay overs.
Clint McKay strikes in the ninth over as Devon Thomas attempts to heave him out of the ground but only skying to Hughes at cover point after making 19 off 25 balls with three boundaries.
After Clint McKay opened with a maiden over, Kieran Powell and Devon Thomas gradually got into their stride.
Powell has hit three boundaries so far including two in one over from Mitchell Starc while Thomas also picked up a boundary off Mictchell Johnson.
West Indies opened with Kieran Powell and Devon Thomas having been set a mammoth target of 330 by Australia in the 3rd one-day international at Manuka Oval in Canberra on Wednesday.
Dashing opener Chris Gayle is reportedly having a side strain.
Australia's innings was powered by belligerent knocks from Shane Watson (122), Phillip Hughes (86) and George Bailey (44) after electing to bat first.
Australia made an imposing 329 for seven in 50 overs after opting to bat first in the 3rd one-day international agaist West Indies at the Manuka Oval in Canberrra on Wednesday.
Watson (above), opening the innings after five weeks out with a calf injury, smashed 122 off 111 balls in a welcome return to form before this month's four-Test tour to India.
He reached his seventh ODI century off 102 balls and then set about Kemar Roach, clubbing a huge six logged at 114 metres (374 feet) into the stands, followed by a four as he threatened to go on for a big ton at the Manuka Oval.
But Watson holed out to Kieron Pollard - one of four catches to the athletic West Indian - two balls later, top-edging to deep backward square leg as he went after Roach's second-last ball of his eighth over.
Hughes, who gave a chance cutting through slip on six, threw away the opportunity to make his third ODI century this season when he was caught behind off Sammy for 86.
Wicketkeeper Devon Thomas had taken a painful blow on his thumb the previous delivery but he held the catch while standing up to the stumps to medium-pacer Sammy.
Hughes scored his runs off 93 balls with 10 fours and a six and departed with less than five overs left in the innings.
The Australians, chasing a series victory after winning the opening two ODIs in Perth, lost a flurry of late wickets as they tried to accelerate the scoring on the bat-friendly pitch.
Opener Aaron Finch, who was fortunate not be caught off a leading edge on 20, was out when he tried to run a Sammy delivery down to third man only to be caught behind for 38 off 41 balls.
Finch helped put on 89 for the opening wicket with Watson and missed a great opportunity to cash in.
Skipper Michael Clarke was out to a juggling caught and bowled by Pollard for 15 in the 41st over as the Australians, who won the toss, went after a 300-plus total.
Glenn Maxwell left the wicket shaking his head in disbelief when he was brilliantly caught one handed for four by a leaping Pollard on the boundary as he looked to smash spinner Sunil Narine for six.
Pollard plucked another near-replica one-handed leaping catch on the rope to end George Bailey's cameo of 44 off 22 balls and give Narine his second wicket.
James Faulkner only lasted three balls before he was bowled for two.
The Australian T20 captain's cameo of 44 off 22 balls contained three boundaries and a six.
George Bailey cracked three boundaries including two off the first two balls from Kemar Road in the 48th over which yielded 16 runs.
Kieran Pollard takes a brilliant catch leaping high on the square leg boundary as Glenn Maxwell attempted to sweep Sunil Narine for a six.
Phillip Hughes departs caught behind by Devon Thomas off Darren Sammy after a powerpacked innings of 86 off 93 balls with 10 four and a six.
Michael Clarke falls in the 41st over after making 15 off 19 balls with Kieran Pollard accepting a return catch.
Australia are continuing the flay the West Indies attack with Phillip Hughes taking over the assault following the departure of Shane Watson.
Hughes completed his half century off 63 balls with six boundaries.
The second batting Powerplay taken in the 30th over yielded 49 runs for the loss of Watson's wicket.
Shane Watson is in full cry now celebrating his century by whacking Chris Gayle over midwicket for his 100th six.
Shane Watson goes after an entertaining knock of 122 off just 111 balls holing out to Kieran Pollard at deep backward square leg off Kemar Roach in the 34th over.
Having thumped his second six of Roach over long on followed by a boundary with a straight drive, Watson perishes as Australia step up the tempo.
Watson's breezy partnership of 112 for the second wicket with Phillip Hughes whose contribution was 37 came off just 111 balls.
Shane Watson made a spectacular return to the Australian side following an injury lay-off when he reached his seventh ODI century by whipping Kemar Roach to backward square leg for a couple in the 32nd over.
His belligerent 100 came off just 102 balls and contained 11 boundaries.
Shane Watson slams Dwayne Bravo through the covers for his 10th boundary to bring up the 150 of the Australia innings in the 28th over.
Watson and Phillip Hughes brought up their 50 partnership for the second wicket in just 67 balls.
Australia are looking to post a huge total having lost only Aaron Finch at the halfway stage of the innings.
Shane Watson is batting on a run-a-ball 77 while Philip Hughes is with him.
Aaron Finch is the batsman out caught behind by Devon Thomas off Darren Sammy after a breezy knock of 38 off 41 balls with five boundaries after a partnership of 89 in 15.3 overs with Shane Watson.
Australia raced to 59 without loss in the mandatory first 10 Powerplay overs with the 50 of the innings coming in just 53 balls.
Watson returning to the side after injury completed his half century off just 52 balls with the help of seven boundaries.
The 100 of the Australian innings came in the 17th over off 101 balls.
Australia captain Michael Clarke won the toss and chose to bat in the third one-day international against the West Indies at Manuka Oval in Canberra on Wednesday.
Fit-again Shane Watson is back in the team and will open the Australian innings with Aaron Finch but he will not be bowling.
Australia will clinch the best of five-match series with victory after they won the opening two games in Perth by nine wickets and 54 runs.
Australia: Michael Clarke (capt), Shane Watson, Aaron Finch, Phillip Hughes, George Bailey, Matthew Wade, Glenn Maxwell, James Faulkner, Mitchell Johnson, Mitchell Starc, Clint McKay.
West Indies: Darren Sammy (capt), Chris Gayle, Kieran Powell, Ramnaresh Sarwan, Darren Bravo, Dwayne Bravo, Kieron Pollard, Devon Thomas, Andre Russell, Sunil Narine, Kemar Roach.
Umpires: Asad Rauf (PAK), Simon Fry (AUS)
TV umpire: Nigel Llong (ENG)
Match Referee: Ranjan Madugalle (SRI)