Finding the Third Proportional to 10,638 and 24,848

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 24,848 = 24,848 : x
2. Step 2: Convert to fraction form
   10,638/24,848 = 24,848/x
3. Step 3: Cross multiply
   10,638x = 24,848 × 24,848
4. Step 4: Simplify right side
   10,638x = 617,423,104
5. Step 5: Solve for x
   x = 617,423,104/10,638
6. Step 6: Final answer
   x = 58,039.40