Finding the Third Proportional to 6,440 and 10,744

Step by Step Solution

1. Step 1: Write the proportion equation
   6,440 : 10,744 = 10,744 : x
2. Step 2: Convert to fraction form
   6,440/10,744 = 10,744/x
3. Step 3: Cross multiply
   6,440x = 10,744 × 10,744
4. Step 4: Simplify right side
   6,440x = 115,433,536
5. Step 5: Solve for x
   x = 115,433,536/6,440
6. Step 6: Final answer
   x = 17,924.46