Finding the Third Proportional to 8,082 and 12,507

Step by Step Solution

1. Step 1: Write the proportion equation
   8,082 : 12,507 = 12,507 : x
2. Step 2: Convert to fraction form
   8,082/12,507 = 12,507/x
3. Step 3: Cross multiply
   8,082x = 12,507 × 12,507
4. Step 4: Simplify right side
   8,082x = 156,425,049
5. Step 5: Solve for x
   x = 156,425,049/8,082
6. Step 6: Final answer
   x = 19,354.74