Finding the Third Proportional to 3,756.38 and 5,614.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,756.38 : 5,614.31 = 5,614.31 : x
2. Step 2: Convert to fraction form
   3,756.38/5,614.31 = 5,614.31/x
3. Step 3: Cross multiply
   3,756.38x = 5,614.31 × 5,614.31
4. Step 4: Simplify right side
   3,756.38x = 31,520,504.85
5. Step 5: Solve for x
   x = 31,520,504.85/3,756.38
6. Step 6: Final answer
   x = 8,391.20