Finding the Third Proportional to 39,772.50 and 86,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,772.50 : 86,554.50 = 86,554.50 : x
2. Step 2: Convert to fraction form
   39,772.50/86,554.50 = 86,554.50/x
3. Step 3: Cross multiply
   39,772.50x = 86,554.50 × 86,554.50
4. Step 4: Simplify right side
   39,772.50x = 7,491,681,470.25
5. Step 5: Solve for x
   x = 7,491,681,470.25/39,772.50
6. Step 6: Final answer
   x = 188,363.35