Finding the Third Proportional to 40,178.25 and 57,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,178.25 : 57,397.50 = 57,397.50 : x
2. Step 2: Convert to fraction form
   40,178.25/57,397.50 = 57,397.50/x
3. Step 3: Cross multiply
   40,178.25x = 57,397.50 × 57,397.50
4. Step 4: Simplify right side
   40,178.25x = 3,294,473,006.25
5. Step 5: Solve for x
   x = 3,294,473,006.25/40,178.25
6. Step 6: Final answer
   x = 81,996.43