Finding the Third Proportional to 53,156.75 and 85,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,156.75 : 85,648.50 = 85,648.50 : x
2. Step 2: Convert to fraction form
   53,156.75/85,648.50 = 85,648.50/x
3. Step 3: Cross multiply
   53,156.75x = 85,648.50 × 85,648.50
4. Step 4: Simplify right side
   53,156.75x = 7,335,665,552.25
5. Step 5: Solve for x
   x = 7,335,665,552.25/53,156.75
6. Step 6: Final answer
   x = 138,000.64