Finding the Third Proportional to 10,098 and 17,874

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098 : 17,874 = 17,874 : x
2. Step 2: Convert to fraction form
   10,098/17,874 = 17,874/x
3. Step 3: Cross multiply
   10,098x = 17,874 × 17,874
4. Step 4: Simplify right side
   10,098x = 319,479,876
5. Step 5: Solve for x
   x = 319,479,876/10,098
6. Step 6: Final answer
   x = 31,637.94