Finding the Third Proportional to 39,509 and 57,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,509 : 57,703.50 = 57,703.50 : x
2. Step 2: Convert to fraction form
   39,509/57,703.50 = 57,703.50/x
3. Step 3: Cross multiply
   39,509x = 57,703.50 × 57,703.50
4. Step 4: Simplify right side
   39,509x = 3,329,693,912.25
5. Step 5: Solve for x
   x = 3,329,693,912.25/39,509
6. Step 6: Final answer
   x = 84,276.85