Finding the Third Proportional to 10,540 and 18,042

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 18,042 = 18,042 : x
2. Step 2: Convert to fraction form
   10,540/18,042 = 18,042/x
3. Step 3: Cross multiply
   10,540x = 18,042 × 18,042
4. Step 4: Simplify right side
   10,540x = 325,513,764
5. Step 5: Solve for x
   x = 325,513,764/10,540
6. Step 6: Final answer
   x = 30,883.66