Finding the Third Proportional to 10,222 and 20,874

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222 : 20,874 = 20,874 : x
2. Step 2: Convert to fraction form
   10,222/20,874 = 20,874/x
3. Step 3: Cross multiply
   10,222x = 20,874 × 20,874
4. Step 4: Simplify right side
   10,222x = 435,723,876
5. Step 5: Solve for x
   x = 435,723,876/10,222
6. Step 6: Final answer
   x = 42,626.09