Finding the Third Proportional to 10,831 and 23,617

Step by Step Solution

1. Step 1: Write the proportion equation
   10,831 : 23,617 = 23,617 : x
2. Step 2: Convert to fraction form
   10,831/23,617 = 23,617/x
3. Step 3: Cross multiply
   10,831x = 23,617 × 23,617
4. Step 4: Simplify right side
   10,831x = 557,762,689
5. Step 5: Solve for x
   x = 557,762,689/10,831
6. Step 6: Final answer
   x = 51,496.88