Finding the Third Proportional to 3,776 and 5,744

Step by Step Solution

1. Step 1: Write the proportion equation
   3,776 : 5,744 = 5,744 : x
2. Step 2: Convert to fraction form
   3,776/5,744 = 5,744/x
3. Step 3: Cross multiply
   3,776x = 5,744 × 5,744
4. Step 4: Simplify right side
   3,776x = 32,993,536
5. Step 5: Solve for x
   x = 32,993,536/3,776
6. Step 6: Final answer
   x = 8,737.69