Finding the Third Proportional to 25,774 and 54,949

Step by Step Solution

1. Step 1: Write the proportion equation
   25,774 : 54,949 = 54,949 : x
2. Step 2: Convert to fraction form
   25,774/54,949 = 54,949/x
3. Step 3: Cross multiply
   25,774x = 54,949 × 54,949
4. Step 4: Simplify right side
   25,774x = 3,019,392,601
5. Step 5: Solve for x
   x = 3,019,392,601/25,774
6. Step 6: Final answer
   x = 117,148.78