Finding the Third Proportional to 39,747.50 and 86,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,747.50 : 86,397.50 = 86,397.50 : x
2. Step 2: Convert to fraction form
   39,747.50/86,397.50 = 86,397.50/x
3. Step 3: Cross multiply
   39,747.50x = 86,397.50 × 86,397.50
4. Step 4: Simplify right side
   39,747.50x = 7,464,528,006.25
5. Step 5: Solve for x
   x = 7,464,528,006.25/39,747.50
6. Step 6: Final answer
   x = 187,798.68