Finding the Third Proportional to 3,682 and 5,540

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682 : 5,540 = 5,540 : x
2. Step 2: Convert to fraction form
   3,682/5,540 = 5,540/x
3. Step 3: Cross multiply
   3,682x = 5,540 × 5,540
4. Step 4: Simplify right side
   3,682x = 30,691,600
5. Step 5: Solve for x
   x = 30,691,600/3,682
6. Step 6: Final answer
   x = 8,335.58