Finding the Third Proportional to 3,680 and 5,732

Step by Step Solution

1. Step 1: Write the proportion equation
   3,680 : 5,732 = 5,732 : x
2. Step 2: Convert to fraction form
   3,680/5,732 = 5,732/x
3. Step 3: Cross multiply
   3,680x = 5,732 × 5,732
4. Step 4: Simplify right side
   3,680x = 32,855,824
5. Step 5: Solve for x
   x = 32,855,824/3,680
6. Step 6: Final answer
   x = 8,928.21