Finding the Third Proportional to 8,144 and 17,872

Step by Step Solution

1. Step 1: Write the proportion equation
   8,144 : 17,872 = 17,872 : x
2. Step 2: Convert to fraction form
   8,144/17,872 = 17,872/x
3. Step 3: Cross multiply
   8,144x = 17,872 × 17,872
4. Step 4: Simplify right side
   8,144x = 319,408,384
5. Step 5: Solve for x
   x = 319,408,384/8,144
6. Step 6: Final answer
   x = 39,220.09