Finding the Third Proportional to 11,417 and 12,605

Step by Step Solution

1. Step 1: Write the proportion equation
   11,417 : 12,605 = 12,605 : x
2. Step 2: Convert to fraction form
   11,417/12,605 = 12,605/x
3. Step 3: Cross multiply
   11,417x = 12,605 × 12,605
4. Step 4: Simplify right side
   11,417x = 158,886,025
5. Step 5: Solve for x
   x = 158,886,025/11,417
6. Step 6: Final answer
   x = 13,916.62