Finding the Third Proportional to 10,638 and 24,849

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 24,849 = 24,849 : x
2. Step 2: Convert to fraction form
   10,638/24,849 = 24,849/x
3. Step 3: Cross multiply
   10,638x = 24,849 × 24,849
4. Step 4: Simplify right side
   10,638x = 617,472,801
5. Step 5: Solve for x
   x = 617,472,801/10,638
6. Step 6: Final answer
   x = 58,044.07