Finding the Third Proportional to 53,496 and 82,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,496 : 82,789.50 = 82,789.50 : x
2. Step 2: Convert to fraction form
   53,496/82,789.50 = 82,789.50/x
3. Step 3: Cross multiply
   53,496x = 82,789.50 × 82,789.50
4. Step 4: Simplify right side
   53,496x = 6,854,101,310.25
5. Step 5: Solve for x
   x = 6,854,101,310.25/53,496
6. Step 6: Final answer
   x = 128,123.62