Finding the Third Proportional to 8,082 and 17,505

Step by Step Solution

1. Step 1: Write the proportion equation
   8,082 : 17,505 = 17,505 : x
2. Step 2: Convert to fraction form
   8,082/17,505 = 17,505/x
3. Step 3: Cross multiply
   8,082x = 17,505 × 17,505
4. Step 4: Simplify right side
   8,082x = 306,425,025
5. Step 5: Solve for x
   x = 306,425,025/8,082
6. Step 6: Final answer
   x = 37,914.50