Finding the Third Proportional to 12,256 and 25,948

Step by Step Solution

1. Step 1: Write the proportion equation
   12,256 : 25,948 = 25,948 : x
2. Step 2: Convert to fraction form
   12,256/25,948 = 25,948/x
3. Step 3: Cross multiply
   12,256x = 25,948 × 25,948
4. Step 4: Simplify right side
   12,256x = 673,298,704
5. Step 5: Solve for x
   x = 673,298,704/12,256
6. Step 6: Final answer
   x = 54,936.25