Finding the Third Proportional to 10,792 and 22,868

Step by Step Solution

1. Step 1: Write the proportion equation
   10,792 : 22,868 = 22,868 : x
2. Step 2: Convert to fraction form
   10,792/22,868 = 22,868/x
3. Step 3: Cross multiply
   10,792x = 22,868 × 22,868
4. Step 4: Simplify right side
   10,792x = 522,945,424
5. Step 5: Solve for x
   x = 522,945,424/10,792
6. Step 6: Final answer
   x = 48,456.77