Finding the Third Proportional to 53,122.88 and 82,915.31

Step by Step Solution

1. Step 1: Write the proportion equation
   53,122.88 : 82,915.31 = 82,915.31 : x
2. Step 2: Convert to fraction form
   53,122.88/82,915.31 = 82,915.31/x
3. Step 3: Cross multiply
   53,122.88x = 82,915.31 × 82,915.31
4. Step 4: Simplify right side
   53,122.88x = 6,874,949,046.97
5. Step 5: Solve for x
   x = 6,874,949,046.97/53,122.88
6. Step 6: Final answer
   x = 129,415.98