Finding the Third Proportional to 10,296 and 11,256

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 11,256 = 11,256 : x
2. Step 2: Convert to fraction form
   10,296/11,256 = 11,256/x
3. Step 3: Cross multiply
   10,296x = 11,256 × 11,256
4. Step 4: Simplify right side
   10,296x = 126,697,536
5. Step 5: Solve for x
   x = 126,697,536/10,296
6. Step 6: Final answer
   x = 12,305.51