Finding the Third Proportional to 7,711.50 and 16,744.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,711.50 : 16,744.31 = 16,744.31 : x
2. Step 2: Convert to fraction form
   7,711.50/16,744.31 = 16,744.31/x
3. Step 3: Cross multiply
   7,711.50x = 16,744.31 × 16,744.31
4. Step 4: Simplify right side
   7,711.50x = 280,372,001.10
5. Step 5: Solve for x
   x = 280,372,001.10/7,711.50
6. Step 6: Final answer
   x = 36,357.65