Problem 03 - Symmetrical Parabolic Curve

A grade line AB having a slope of +5% intersect another grade line BC having a slope of –3% at B. The elevations of points A, B and C are 95 m, 100 m and 97 m respectively. Determine the elevation of the summit of the 100 m parabolic vertical curve to connect the grade lines.
A.   98.32 m
B.   99.06 m
C.   97.32 m
D.   96.86 m