Finding the Third Proportional to 12,408 and 17,734

Step by Step Solution

1. Step 1: Write the proportion equation
   12,408 : 17,734 = 17,734 : x
2. Step 2: Convert to fraction form
   12,408/17,734 = 17,734/x
3. Step 3: Cross multiply
   12,408x = 17,734 × 17,734
4. Step 4: Simplify right side
   12,408x = 314,494,756
5. Step 5: Solve for x
   x = 314,494,756/12,408
6. Step 6: Final answer
   x = 25,346.13