64.94
First, write out an expression about what we know
0.6915 * 62.93 + 0.3085 * x = 63.55
Now solve for x
0.6915 * 62.93 + 0.3085 * x = 63.55
43.5161 + 0.3085 * x = 63.55
0.3085 * x = 20.03391
x = 64.93972
Rounding the answer to 2 decimal places gives x = 64.94