Finding the Third Proportional to 39,877.50 and 54,180.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,877.50 : 54,180.75 = 54,180.75 : x
2. Step 2: Convert to fraction form
   39,877.50/54,180.75 = 54,180.75/x
3. Step 3: Cross multiply
   39,877.50x = 54,180.75 × 54,180.75
4. Step 4: Simplify right side
   39,877.50x = 2,935,553,670.56
5. Step 5: Solve for x
   x = 2,935,553,670.56/39,877.50
6. Step 6: Final answer
   x = 73,614.29