Finding the Third Proportional to 53,248.50 and 82,761.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,248.50 : 82,761.75 = 82,761.75 : x
2. Step 2: Convert to fraction form
   53,248.50/82,761.75 = 82,761.75/x
3. Step 3: Cross multiply
   53,248.50x = 82,761.75 × 82,761.75
4. Step 4: Simplify right side
   53,248.50x = 6,849,507,263.06
5. Step 5: Solve for x
   x = 6,849,507,263.06/53,248.50
6. Step 6: Final answer
   x = 128,632.87