Finding the Third Proportional to 10,680 and 22,048

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 22,048 = 22,048 : x
2. Step 2: Convert to fraction form
   10,680/22,048 = 22,048/x
3. Step 3: Cross multiply
   10,680x = 22,048 × 22,048
4. Step 4: Simplify right side
   10,680x = 486,114,304
5. Step 5: Solve for x
   x = 486,114,304/10,680
6. Step 6: Final answer
   x = 45,516.32