Finding the Third Proportional to 3,682.13 and 8,049.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682.13 : 8,049.38 = 8,049.38 : x
2. Step 2: Convert to fraction form
   3,682.13/8,049.38 = 8,049.38/x
3. Step 3: Cross multiply
   3,682.13x = 8,049.38 × 8,049.38
4. Step 4: Simplify right side
   3,682.13x = 64,792,437.89
5. Step 5: Solve for x
   x = 64,792,437.89/3,682.13
6. Step 6: Final answer
   x = 17,596.48