Finding the Third Proportional to 6,408 and 10,179

Step by Step Solution

1. Step 1: Write the proportion equation
   6,408 : 10,179 = 10,179 : x
2. Step 2: Convert to fraction form
   6,408/10,179 = 10,179/x
3. Step 3: Cross multiply
   6,408x = 10,179 × 10,179
4. Step 4: Simplify right side
   6,408x = 103,612,041
5. Step 5: Solve for x
   x = 103,612,041/6,408
6. Step 6: Final answer
   x = 16,169.17