Finding the Third Proportional to 10,519 and 12,439

Step by Step Solution

1. Step 1: Write the proportion equation
   10,519 : 12,439 = 12,439 : x
2. Step 2: Convert to fraction form
   10,519/12,439 = 12,439/x
3. Step 3: Cross multiply
   10,519x = 12,439 × 12,439
4. Step 4: Simplify right side
   10,519x = 154,728,721
5. Step 5: Solve for x
   x = 154,728,721/10,519
6. Step 6: Final answer
   x = 14,709.45