Finding the Third Proportional to 10,648 and 24,872

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 24,872 = 24,872 : x
2. Step 2: Convert to fraction form
   10,648/24,872 = 24,872/x
3. Step 3: Cross multiply
   10,648x = 24,872 × 24,872
4. Step 4: Simplify right side
   10,648x = 618,616,384
5. Step 5: Solve for x
   x = 618,616,384/10,648
6. Step 6: Final answer
   x = 58,096.96