Finding the Third Proportional to 6,384 and 12,408

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384 : 12,408 = 12,408 : x
2. Step 2: Convert to fraction form
   6,384/12,408 = 12,408/x
3. Step 3: Cross multiply
   6,384x = 12,408 × 12,408
4. Step 4: Simplify right side
   6,384x = 153,958,464
5. Step 5: Solve for x
   x = 153,958,464/6,384
6. Step 6: Final answer
   x = 24,116.30