Finding the Third Proportional to 11,256 and 12,480

Step by Step Solution

1. Step 1: Write the proportion equation
   11,256 : 12,480 = 12,480 : x
2. Step 2: Convert to fraction form
   11,256/12,480 = 12,480/x
3. Step 3: Cross multiply
   11,256x = 12,480 × 12,480
4. Step 4: Simplify right side
   11,256x = 155,750,400
5. Step 5: Solve for x
   x = 155,750,400/11,256
6. Step 6: Final answer
   x = 13,837.10