Finding the Third Proportional to 8,000 and 17,600

Step by Step Solution

1. Step 1: Write the proportion equation
   8,000 : 17,600 = 17,600 : x
2. Step 2: Convert to fraction form
   8,000/17,600 = 17,600/x
3. Step 3: Cross multiply
   8,000x = 17,600 × 17,600
4. Step 4: Simplify right side
   8,000x = 309,760,000
5. Step 5: Solve for x
   x = 309,760,000/8,000
6. Step 6: Final answer
   x = 38,720