Finding the Third Proportional to 31,932 and 69,695

Step by Step Solution

1. Step 1: Write the proportion equation
   31,932 : 69,695 = 69,695 : x
2. Step 2: Convert to fraction form
   31,932/69,695 = 69,695/x
3. Step 3: Cross multiply
   31,932x = 69,695 × 69,695
4. Step 4: Simplify right side
   31,932x = 4,857,393,025
5. Step 5: Solve for x
   x = 4,857,393,025/31,932
6. Step 6: Final answer
   x = 152,116.78