Finding the Third Proportional to 6,400 and 10,112

Step by Step Solution

1. Step 1: Write the proportion equation
   6,400 : 10,112 = 10,112 : x
2. Step 2: Convert to fraction form
   6,400/10,112 = 10,112/x
3. Step 3: Cross multiply
   6,400x = 10,112 × 10,112
4. Step 4: Simplify right side
   6,400x = 102,252,544
5. Step 5: Solve for x
   x = 102,252,544/6,400
6. Step 6: Final answer
   x = 15,976.96