Finding the Third Proportional to 53,156.50 and 85,648.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,156.50 : 85,648.75 = 85,648.75 : x
2. Step 2: Convert to fraction form
   53,156.50/85,648.75 = 85,648.75/x
3. Step 3: Cross multiply
   53,156.50x = 85,648.75 × 85,648.75
4. Step 4: Simplify right side
   53,156.50x = 7,335,708,376.56
5. Step 5: Solve for x
   x = 7,335,708,376.56/53,156.50
6. Step 6: Final answer
   x = 138,002.10