Finding the Third Proportional to 11,879 and 25,616

Step by Step Solution

1. Step 1: Write the proportion equation
   11,879 : 25,616 = 25,616 : x
2. Step 2: Convert to fraction form
   11,879/25,616 = 25,616/x
3. Step 3: Cross multiply
   11,879x = 25,616 × 25,616
4. Step 4: Simplify right side
   11,879x = 656,179,456
5. Step 5: Solve for x
   x = 656,179,456/11,879
6. Step 6: Final answer
   x = 55,238.61