Finding the Third Proportional to 8,082 and 17,441

Step by Step Solution

1. Step 1: Write the proportion equation
   8,082 : 17,441 = 17,441 : x
2. Step 2: Convert to fraction form
   8,082/17,441 = 17,441/x
3. Step 3: Cross multiply
   8,082x = 17,441 × 17,441
4. Step 4: Simplify right side
   8,082x = 304,188,481
5. Step 5: Solve for x
   x = 304,188,481/8,082
6. Step 6: Final answer
   x = 37,637.77