Finding the Third Proportional to 3,749.38 and 5,737.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,749.38 : 5,737.69 = 5,737.69 : x
2. Step 2: Convert to fraction form
   3,749.38/5,737.69 = 5,737.69/x
3. Step 3: Cross multiply
   3,749.38x = 5,737.69 × 5,737.69
4. Step 4: Simplify right side
   3,749.38x = 32,921,057.85
5. Step 5: Solve for x
   x = 32,921,057.85/3,749.38
6. Step 6: Final answer
   x = 8,780.41