Finding the Third Proportional to 9,792 and 21,825

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792 : 21,825 = 21,825 : x
2. Step 2: Convert to fraction form
   9,792/21,825 = 21,825/x
3. Step 3: Cross multiply
   9,792x = 21,825 × 21,825
4. Step 4: Simplify right side
   9,792x = 476,330,625
5. Step 5: Solve for x
   x = 476,330,625/9,792
6. Step 6: Final answer
   x = 48,644.88