Circle

Two circles, C1 and C2, of different diameter intersect at X and Y. AXB and CYD are 2 straight lines with A, C on circle C1 and B, D on circle C2. AXB and CYD produce meets at M. It is given that :
AX = 113 mm. BM = 12 mm. CY = 58 mm. DM = 9 mm.
Find length of XB and YD. (Answer in surd form if necessary.)