Finding the Third Proportional to 10,223 and 14,469

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223 : 14,469 = 14,469 : x
2. Step 2: Convert to fraction form
   10,223/14,469 = 14,469/x
3. Step 3: Cross multiply
   10,223x = 14,469 × 14,469
4. Step 4: Simplify right side
   10,223x = 209,351,961
5. Step 5: Solve for x
   x = 209,351,961/10,223
6. Step 6: Final answer
   x = 20,478.52