Finding the Third Proportional to 10,256 and 21,734

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 21,734 = 21,734 : x
2. Step 2: Convert to fraction form
   10,256/21,734 = 21,734/x
3. Step 3: Cross multiply
   10,256x = 21,734 × 21,734
4. Step 4: Simplify right side
   10,256x = 472,366,756
5. Step 5: Solve for x
   x = 472,366,756/10,256
6. Step 6: Final answer
   x = 46,057.60