Finding the Third Proportional to 33,088.50 and 64,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,088.50 : 64,516.50 = 64,516.50 : x
2. Step 2: Convert to fraction form
   33,088.50/64,516.50 = 64,516.50/x
3. Step 3: Cross multiply
   33,088.50x = 64,516.50 × 64,516.50
4. Step 4: Simplify right side
   33,088.50x = 4,162,378,772.25
5. Step 5: Solve for x
   x = 4,162,378,772.25/33,088.50
6. Step 6: Final answer
   x = 125,795.33