Finding the Third Proportional to 9,792 and 20,866

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792 : 20,866 = 20,866 : x
2. Step 2: Convert to fraction form
   9,792/20,866 = 20,866/x
3. Step 3: Cross multiply
   9,792x = 20,866 × 20,866
4. Step 4: Simplify right side
   9,792x = 435,389,956
5. Step 5: Solve for x
   x = 435,389,956/9,792
6. Step 6: Final answer
   x = 44,463.84