Finding the Third Proportional to 6,384 and 10,040

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384 : 10,040 = 10,040 : x
2. Step 2: Convert to fraction form
   6,384/10,040 = 10,040/x
3. Step 3: Cross multiply
   6,384x = 10,040 × 10,040
4. Step 4: Simplify right side
   6,384x = 100,801,600
5. Step 5: Solve for x
   x = 100,801,600/6,384
6. Step 6: Final answer
   x = 15,789.72