Finding the Third Proportional to 10,223 and 20,876

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223 : 20,876 = 20,876 : x
2. Step 2: Convert to fraction form
   10,223/20,876 = 20,876/x
3. Step 3: Cross multiply
   10,223x = 20,876 × 20,876
4. Step 4: Simplify right side
   10,223x = 435,807,376
5. Step 5: Solve for x
   x = 435,807,376/10,223
6. Step 6: Final answer
   x = 42,630.09