Finding the Third Proportional to 6,400 and 10,038

Step by Step Solution

1. Step 1: Write the proportion equation
   6,400 : 10,038 = 10,038 : x
2. Step 2: Convert to fraction form
   6,400/10,038 = 10,038/x
3. Step 3: Cross multiply
   6,400x = 10,038 × 10,038
4. Step 4: Simplify right side
   6,400x = 100,761,444
5. Step 5: Solve for x
   x = 100,761,444/6,400
6. Step 6: Final answer
   x = 15,743.98