Finding the Third Proportional to 39,627 and 54,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,627 : 54,337.50 = 54,337.50 : x
2. Step 2: Convert to fraction form
   39,627/54,337.50 = 54,337.50/x
3. Step 3: Cross multiply
   39,627x = 54,337.50 × 54,337.50
4. Step 4: Simplify right side
   39,627x = 2,952,563,906.25
5. Step 5: Solve for x
   x = 2,952,563,906.25/39,627
6. Step 6: Final answer
   x = 74,508.89