Finding the Third Proportional to 13,800 and 23,856

Step by Step Solution

1. Step 1: Write the proportion equation
   13,800 : 23,856 = 23,856 : x
2. Step 2: Convert to fraction form
   13,800/23,856 = 23,856/x
3. Step 3: Cross multiply
   13,800x = 23,856 × 23,856
4. Step 4: Simplify right side
   13,800x = 569,108,736
5. Step 5: Solve for x
   x = 569,108,736/13,800
6. Step 6: Final answer
   x = 41,239.76