Finding the Third Proportional to 3,728 and 5,684

Step by Step Solution

1. Step 1: Write the proportion equation
   3,728 : 5,684 = 5,684 : x
2. Step 2: Convert to fraction form
   3,728/5,684 = 5,684/x
3. Step 3: Cross multiply
   3,728x = 5,684 × 5,684
4. Step 4: Simplify right side
   3,728x = 32,307,856
5. Step 5: Solve for x
   x = 32,307,856/3,728
6. Step 6: Final answer
   x = 8,666.27