Finding the Third Proportional to 12,896 and 25,256

Step by Step Solution

1. Step 1: Write the proportion equation
   12,896 : 25,256 = 25,256 : x
2. Step 2: Convert to fraction form
   12,896/25,256 = 25,256/x
3. Step 3: Cross multiply
   12,896x = 25,256 × 25,256
4. Step 4: Simplify right side
   12,896x = 637,865,536
5. Step 5: Solve for x
   x = 637,865,536/12,896
6. Step 6: Final answer
   x = 49,462.28