Finding the Third Proportional to 11,101 and 23,834

Step by Step Solution

1. Step 1: Write the proportion equation
   11,101 : 23,834 = 23,834 : x
2. Step 2: Convert to fraction form
   11,101/23,834 = 23,834/x
3. Step 3: Cross multiply
   11,101x = 23,834 × 23,834
4. Step 4: Simplify right side
   11,101x = 568,059,556
5. Step 5: Solve for x
   x = 568,059,556/11,101
6. Step 6: Final answer
   x = 51,171.93