Finding the Third Proportional to 3,742 and 5,676

Step by Step Solution

1. Step 1: Write the proportion equation
   3,742 : 5,676 = 5,676 : x
2. Step 2: Convert to fraction form
   3,742/5,676 = 5,676/x
3. Step 3: Cross multiply
   3,742x = 5,676 × 5,676
4. Step 4: Simplify right side
   3,742x = 32,216,976
5. Step 5: Solve for x
   x = 32,216,976/3,742
6. Step 6: Final answer
   x = 8,609.56