Finding the Third Proportional to 6,468 and 10,256

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468 : 10,256 = 10,256 : x
2. Step 2: Convert to fraction form
   6,468/10,256 = 10,256/x
3. Step 3: Cross multiply
   6,468x = 10,256 × 10,256
4. Step 4: Simplify right side
   6,468x = 105,185,536
5. Step 5: Solve for x
   x = 105,185,536/6,468
6. Step 6: Final answer
   x = 16,262.45