Finding the Third Proportional to 9,744 and 10,824

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744 : 10,824 = 10,824 : x
2. Step 2: Convert to fraction form
   9,744/10,824 = 10,824/x
3. Step 3: Cross multiply
   9,744x = 10,824 × 10,824
4. Step 4: Simplify right side
   9,744x = 117,158,976
5. Step 5: Solve for x
   x = 117,158,976/9,744
6. Step 6: Final answer
   x = 12,023.70