Finding the Third Proportional to 13,198 and 17,942

Step by Step Solution

1. Step 1: Write the proportion equation
   13,198 : 17,942 = 17,942 : x
2. Step 2: Convert to fraction form
   13,198/17,942 = 17,942/x
3. Step 3: Cross multiply
   13,198x = 17,942 × 17,942
4. Step 4: Simplify right side
   13,198x = 321,915,364
5. Step 5: Solve for x
   x = 321,915,364/13,198
6. Step 6: Final answer
   x = 24,391.22