Finding the Third Proportional to 3,676 and 5,500

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676 : 5,500 = 5,500 : x
2. Step 2: Convert to fraction form
   3,676/5,500 = 5,500/x
3. Step 3: Cross multiply
   3,676x = 5,500 × 5,500
4. Step 4: Simplify right side
   3,676x = 30,250,000
5. Step 5: Solve for x
   x = 30,250,000/3,676
6. Step 6: Final answer
   x = 8,229.05