My baby is measuring so big?!?

At 31 weeks baby measured 34wks, at 33 weks she measured 35 and now at 35 weeks is measuring 39!!! Ive been reffered to obstetrician but I have to wait until Friday? Im presuming they will cheke for diabetes? They have already checked her fluid a couple of week ago and it was fine, does anybody know what will happen if she starts to measure past 40 weeks but not by due date?? Is there a possibility they will induce me? Me and sister were really big babies delivered by c-section so Im worried Im going to struggle to!!! Please any advice xx