Glenn Maxwell's extraordinary 201 not out guided Australia into the semi-finals of the World Cup as they snatched a stunning three-wicket win from the jaws of defeat against Afghanistan on Tuesday.

At 91-7, chasing 292 in Mumbai, five-times champions Australia were set to join title-holders England, 1996 winners Pakistan and 1992 World Cup kings Sri Lanka as yet another notable Afghanistan scalp at this edition.

But Maxwell, dropped on 33, responded in style and ended the match with his 10th six as he became only the third batsman to score a World Cup double hundred.