Finding the Third Proportional to 9,828 and 21,744

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828 : 21,744 = 21,744 : x
2. Step 2: Convert to fraction form
   9,828/21,744 = 21,744/x
3. Step 3: Cross multiply
   9,828x = 21,744 × 21,744
4. Step 4: Simplify right side
   9,828x = 472,801,536
5. Step 5: Solve for x
   x = 472,801,536/9,828
6. Step 6: Final answer
   x = 48,107.60