Finding the Third Proportional to 6,384 and 10,416

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384 : 10,416 = 10,416 : x
2. Step 2: Convert to fraction form
   6,384/10,416 = 10,416/x
3. Step 3: Cross multiply
   6,384x = 10,416 × 10,416
4. Step 4: Simplify right side
   6,384x = 108,493,056
5. Step 5: Solve for x
   x = 108,493,056/6,384
6. Step 6: Final answer
   x = 16,994.53