The left-handed opener struck 10 fours and two sixes from 90 balls and Dwayne Bravo made 45, but West Indies were unsuccessful in a chase of 267 for victory at the Western Australia Cricket Arena.
The result meant West Indies now trail 0-2 in the five-match series.
The match was played at the WACA Ground.
AUSTRALIA 266 for seven off 50 overs (George Bailey 125 not out, James Faulkner 39, Phil Hughes 21; Darren Sammy 3-48)
WEST INDIES 212 off 38.1 overs (Kieran Powell 83, Dwayne Bravo 45, Sunil Narine 24; Mitchell Starc 5-32, Glenn Maxwell 4-63).