Finding the Third Proportional to 8,000 and 17,388

Step by Step Solution

1. Step 1: Write the proportion equation
   8,000 : 17,388 = 17,388 : x
2. Step 2: Convert to fraction form
   8,000/17,388 = 17,388/x
3. Step 3: Cross multiply
   8,000x = 17,388 × 17,388
4. Step 4: Simplify right side
   8,000x = 302,342,544
5. Step 5: Solve for x
   x = 302,342,544/8,000
6. Step 6: Final answer
   x = 37,792.82