Finding the Third Proportional to 40,728 and 71,796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40,728 : 71,796.75 = 71,796.75 : x
2. Step 2: Convert to fraction form
   40,728/71,796.75 = 71,796.75/x
3. Step 3: Cross multiply
   40,728x = 71,796.75 × 71,796.75
4. Step 4: Simplify right side
   40,728x = 5,154,773,310.56
5. Step 5: Solve for x
   x = 5,154,773,310.56/40,728
6. Step 6: Final answer
   x = 126,565.83