Finding the Third Proportional to 11,514 and 23,838

Step by Step Solution

1. Step 1: Write the proportion equation
   11,514 : 23,838 = 23,838 : x
2. Step 2: Convert to fraction form
   11,514/23,838 = 23,838/x
3. Step 3: Cross multiply
   11,514x = 23,838 × 23,838
4. Step 4: Simplify right side
   11,514x = 568,250,244
5. Step 5: Solve for x
   x = 568,250,244/11,514
6. Step 6: Final answer
   x = 49,352.98