Finding the Third Proportional to 11,544 and 25,284

Step by Step Solution

1. Step 1: Write the proportion equation
   11,544 : 25,284 = 25,284 : x
2. Step 2: Convert to fraction form
   11,544/25,284 = 25,284/x
3. Step 3: Cross multiply
   11,544x = 25,284 × 25,284
4. Step 4: Simplify right side
   11,544x = 639,280,656
5. Step 5: Solve for x
   x = 639,280,656/11,544
6. Step 6: Final answer
   x = 55,377.74