Finding the Third Proportional to 8,040 and 17,638

Step by Step Solution

1. Step 1: Write the proportion equation
   8,040 : 17,638 = 17,638 : x
2. Step 2: Convert to fraction form
   8,040/17,638 = 17,638/x
3. Step 3: Cross multiply
   8,040x = 17,638 × 17,638
4. Step 4: Simplify right side
   8,040x = 311,099,044
5. Step 5: Solve for x
   x = 311,099,044/8,040
6. Step 6: Final answer
   x = 38,693.91