Finding the Third Proportional to 8,128 and 17,600

Step by Step Solution

1. Step 1: Write the proportion equation
   8,128 : 17,600 = 17,600 : x
2. Step 2: Convert to fraction form
   8,128/17,600 = 17,600/x
3. Step 3: Cross multiply
   8,128x = 17,600 × 17,600
4. Step 4: Simplify right side
   8,128x = 309,760,000
5. Step 5: Solve for x
   x = 309,760,000/8,128
6. Step 6: Final answer
   x = 38,110.24