Finding the Third Proportional to 40,564.50 and 54,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,564.50 : 54,142.50 = 54,142.50 : x
2. Step 2: Convert to fraction form
   40,564.50/54,142.50 = 54,142.50/x
3. Step 3: Cross multiply
   40,564.50x = 54,142.50 × 54,142.50
4. Step 4: Simplify right side
   40,564.50x = 2,931,410,306.25
5. Step 5: Solve for x
   x = 2,931,410,306.25/40,564.50
6. Step 6: Final answer
   x = 72,265.41