Finding the Third Proportional to 53,385.75 and 83,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,385.75 : 83,308.50 = 83,308.50 : x
2. Step 2: Convert to fraction form
   53,385.75/83,308.50 = 83,308.50/x
3. Step 3: Cross multiply
   53,385.75x = 83,308.50 × 83,308.50
4. Step 4: Simplify right side
   53,385.75x = 6,940,306,172.25
5. Step 5: Solve for x
   x = 6,940,306,172.25/53,385.75
6. Step 6: Final answer
   x = 130,002.97