Which program will add value to a thrid year B.E. (Civil Engg) student

if you should go with MBA it means you diverts your carrier from technical field to the managerial field. after BE you should continue with ME, finally all depends n your personal interest.

you can do ME , today civil in good demand and MBA you can do side by side with job , for appraisals , in civil there is not so much candidate and have good opening in civil eng , if you do master degree in this field then you can get better position and get better placement