Finding the Third Proportional to 11,142 and 18,561

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142 : 18,561 = 18,561 : x
2. Step 2: Convert to fraction form
   11,142/18,561 = 18,561/x
3. Step 3: Cross multiply
   11,142x = 18,561 × 18,561
4. Step 4: Simplify right side
   11,142x = 344,510,721
5. Step 5: Solve for x
   x = 344,510,721/11,142
6. Step 6: Final answer
   x = 30,920.01