Finding the Third Proportional to 10,224 and 22,383

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 22,383 = 22,383 : x
2. Step 2: Convert to fraction form
   10,224/22,383 = 22,383/x
3. Step 3: Cross multiply
   10,224x = 22,383 × 22,383
4. Step 4: Simplify right side
   10,224x = 500,998,689
5. Step 5: Solve for x
   x = 500,998,689/10,224
6. Step 6: Final answer
   x = 49,002.22