Finding the Third Proportional to 5,764 and 10,256

Step by Step Solution

1. Step 1: Write the proportion equation
   5,764 : 10,256 = 10,256 : x
2. Step 2: Convert to fraction form
   5,764/10,256 = 10,256/x
3. Step 3: Cross multiply
   5,764x = 10,256 × 10,256
4. Step 4: Simplify right side
   5,764x = 105,185,536
5. Step 5: Solve for x
   x = 105,185,536/5,764
6. Step 6: Final answer
   x = 18,248.71