Finding the Third Proportional to 31,832 and 69,496

Step by Step Solution

1. Step 1: Write the proportion equation
   31,832 : 69,496 = 69,496 : x
2. Step 2: Convert to fraction form
   31,832/69,496 = 69,496/x
3. Step 3: Cross multiply
   31,832x = 69,496 × 69,496
4. Step 4: Simplify right side
   31,832x = 4,829,694,016
5. Step 5: Solve for x
   x = 4,829,694,016/31,832
6. Step 6: Final answer
   x = 151,724.49