Finding the Third Proportional to 11,736 and 25,578

Step by Step Solution

1. Step 1: Write the proportion equation
   11,736 : 25,578 = 25,578 : x
2. Step 2: Convert to fraction form
   11,736/25,578 = 25,578/x
3. Step 3: Cross multiply
   11,736x = 25,578 × 25,578
4. Step 4: Simplify right side
   11,736x = 654,234,084
5. Step 5: Solve for x
   x = 654,234,084/11,736
6. Step 6: Final answer
   x = 55,745.92