A two-part extraction balloon and method of use is provided. The balloon catheter comprises a first balloon and a second balloon attached to an elongate catheter shaft near the distal end thereof. The first balloon has an inflated diameter that is larger than the inflated diameter of the second balloon, and in particular has an inflated working diameter range that is greater than the inflated working diameter range of the second balloon. Each of the balloons comprises an elastic or compliant material, and is separately inflatable via one of two inflation lumens extending through the catheter shaft. The larger first balloon is configured to engage and sweep calculi or debris through a relatively large bodily lumen, duct or passageway, whereas the smaller second balloon is configured to engage and sweep calculi or debris through a relatively small bodily lumen, duct or passageway.