Finding the Third Proportional to 11,464 and 13,256

Step by Step Solution

1. Step 1: Write the proportion equation
   11,464 : 13,256 = 13,256 : x
2. Step 2: Convert to fraction form
   11,464/13,256 = 13,256/x
3. Step 3: Cross multiply
   11,464x = 13,256 × 13,256
4. Step 4: Simplify right side
   11,464x = 175,721,536
5. Step 5: Solve for x
   x = 175,721,536/11,464
6. Step 6: Final answer
   x = 15,328.12