Finding the Third Proportional to 10,198 and 23,831

Step by Step Solution

1. Step 1: Write the proportion equation
   10,198 : 23,831 = 23,831 : x
2. Step 2: Convert to fraction form
   10,198/23,831 = 23,831/x
3. Step 3: Cross multiply
   10,198x = 23,831 × 23,831
4. Step 4: Simplify right side
   10,198x = 567,916,561
5. Step 5: Solve for x
   x = 567,916,561/10,198
6. Step 6: Final answer
   x = 55,689.01