Finding the Third Proportional to 29,635.50 and 69,957.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,635.50 : 69,957.75 = 69,957.75 : x
2. Step 2: Convert to fraction form
   29,635.50/69,957.75 = 69,957.75/x
3. Step 3: Cross multiply
   29,635.50x = 69,957.75 × 69,957.75
4. Step 4: Simplify right side
   29,635.50x = 4,894,086,785.06
5. Step 5: Solve for x
   x = 4,894,086,785.06/29,635.50
6. Step 6: Final answer
   x = 165,142.71