Finding the Third Proportional to 10,790 and 22,874

Step by Step Solution

1. Step 1: Write the proportion equation
   10,790 : 22,874 = 22,874 : x
2. Step 2: Convert to fraction form
   10,790/22,874 = 22,874/x
3. Step 3: Cross multiply
   10,790x = 22,874 × 22,874
4. Step 4: Simplify right side
   10,790x = 523,219,876
5. Step 5: Solve for x
   x = 523,219,876/10,790
6. Step 6: Final answer
   x = 48,491.18