Finding the Third Proportional to 11,992 and 25,627

Step by Step Solution

1. Step 1: Write the proportion equation
   11,992 : 25,627 = 25,627 : x
2. Step 2: Convert to fraction form
   11,992/25,627 = 25,627/x
3. Step 3: Cross multiply
   11,992x = 25,627 × 25,627
4. Step 4: Simplify right side
   11,992x = 656,743,129
5. Step 5: Solve for x
   x = 656,743,129/11,992
6. Step 6: Final answer
   x = 54,765.10