Finding the Third Proportional to 10,828 and 24,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 24,456.50 = 24,456.50 : x
2. Step 2: Convert to fraction form
   10,828/24,456.50 = 24,456.50/x
3. Step 3: Cross multiply
   10,828x = 24,456.50 × 24,456.50
4. Step 4: Simplify right side
   10,828x = 598,120,392.25
5. Step 5: Solve for x
   x = 598,120,392.25/10,828
6. Step 6: Final answer
   x = 55,238.31