Finding the Third Proportional to 10,648 and 24,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 24,856 = 24,856 : x
2. Step 2: Convert to fraction form
   10,648/24,856 = 24,856/x
3. Step 3: Cross multiply
   10,648x = 24,856 × 24,856
4. Step 4: Simplify right side
   10,648x = 617,820,736
5. Step 5: Solve for x
   x = 617,820,736/10,648
6. Step 6: Final answer
   x = 58,022.23