Finding the Third Proportional to 10,267 and 24,223

Step by Step Solution

1. Step 1: Write the proportion equation
   10,267 : 24,223 = 24,223 : x
2. Step 2: Convert to fraction form
   10,267/24,223 = 24,223/x
3. Step 3: Cross multiply
   10,267x = 24,223 × 24,223
4. Step 4: Simplify right side
   10,267x = 586,753,729
5. Step 5: Solve for x
   x = 586,753,729/10,267
6. Step 6: Final answer
   x = 57,149.48