Finding the Third Proportional to 11,586 and 25,016

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586 : 25,016 = 25,016 : x
2. Step 2: Convert to fraction form
   11,586/25,016 = 25,016/x
3. Step 3: Cross multiply
   11,586x = 25,016 × 25,016
4. Step 4: Simplify right side
   11,586x = 625,800,256
5. Step 5: Solve for x
   x = 625,800,256/11,586
6. Step 6: Final answer
   x = 54,013.49