Finding the Third Proportional to 11,256 and 13,656

Step by Step Solution

1. Step 1: Write the proportion equation
   11,256 : 13,656 = 13,656 : x
2. Step 2: Convert to fraction form
   11,256/13,656 = 13,656/x
3. Step 3: Cross multiply
   11,256x = 13,656 × 13,656
4. Step 4: Simplify right side
   11,256x = 186,486,336
5. Step 5: Solve for x
   x = 186,486,336/11,256
6. Step 6: Final answer
   x = 16,567.73