Finding the Third Proportional to 11,616 and 25,456

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616 : 25,456 = 25,456 : x
2. Step 2: Convert to fraction form
   11,616/25,456 = 25,456/x
3. Step 3: Cross multiply
   11,616x = 25,456 × 25,456
4. Step 4: Simplify right side
   11,616x = 648,007,936
5. Step 5: Solve for x
   x = 648,007,936/11,616
6. Step 6: Final answer
   x = 55,785.81