Finding the Third Proportional to 9,406 and 12,589

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406 : 12,589 = 12,589 : x
2. Step 2: Convert to fraction form
   9,406/12,589 = 12,589/x
3. Step 3: Cross multiply
   9,406x = 12,589 × 12,589
4. Step 4: Simplify right side
   9,406x = 158,482,921
5. Step 5: Solve for x
   x = 158,482,921/9,406
6. Step 6: Final answer
   x = 16,849.13