Finding the Third Proportional to 10,897 and 12,517

Step by Step Solution

1. Step 1: Write the proportion equation
   10,897 : 12,517 = 12,517 : x
2. Step 2: Convert to fraction form
   10,897/12,517 = 12,517/x
3. Step 3: Cross multiply
   10,897x = 12,517 × 12,517
4. Step 4: Simplify right side
   10,897x = 156,675,289
5. Step 5: Solve for x
   x = 156,675,289/10,897
6. Step 6: Final answer
   x = 14,377.84