Finding the Third Proportional to 9,014 and 12,689

Step by Step Solution

1. Step 1: Write the proportion equation
   9,014 : 12,689 = 12,689 : x
2. Step 2: Convert to fraction form
   9,014/12,689 = 12,689/x
3. Step 3: Cross multiply
   9,014x = 12,689 × 12,689
4. Step 4: Simplify right side
   9,014x = 161,010,721
5. Step 5: Solve for x
   x = 161,010,721/9,014
6. Step 6: Final answer
   x = 17,862.29