Finding the Third Proportional to 12,408 and 17,689

Step by Step Solution

1. Step 1: Write the proportion equation
   12,408 : 17,689 = 17,689 : x
2. Step 2: Convert to fraction form
   12,408/17,689 = 17,689/x
3. Step 3: Cross multiply
   12,408x = 17,689 × 17,689
4. Step 4: Simplify right side
   12,408x = 312,900,721
5. Step 5: Solve for x
   x = 312,900,721/12,408
6. Step 6: Final answer
   x = 25,217.66