The back to back sixes helps Inglis race to 97 from 75 balls as Australia start to take control of the run chase.
Archer, who has two overs in hand, is back into the attack. Singles from the first two balls before Inglis pulls the slower ball over midwicket for a six to complete his maiden ODI century in grand style, from 77 balls.
Archer bowls two dots in a row before clipping the last ball off his pads for two runs.
Australia in control with 34 needed from five overs.