Finding the Third Proportional to 11,738.25 and 24,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738.25 : 24,016.50 = 24,016.50 : x
2. Step 2: Convert to fraction form
   11,738.25/24,016.50 = 24,016.50/x
3. Step 3: Cross multiply
   11,738.25x = 24,016.50 × 24,016.50
4. Step 4: Simplify right side
   11,738.25x = 576,792,272.25
5. Step 5: Solve for x
   x = 576,792,272.25/11,738.25
6. Step 6: Final answer
   x = 49,137.84