Finding the Third Proportional to 39,596.50 and 57,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,596.50 : 57,612.50 = 57,612.50 : x
2. Step 2: Convert to fraction form
   39,596.50/57,612.50 = 57,612.50/x
3. Step 3: Cross multiply
   39,596.50x = 57,612.50 × 57,612.50
4. Step 4: Simplify right side
   39,596.50x = 3,319,200,156.25
5. Step 5: Solve for x
   x = 3,319,200,156.25/39,596.50
6. Step 6: Final answer
   x = 83,825.59