Finding the Third Proportional to 8,001 and 17,325

Step by Step Solution

1. Step 1: Write the proportion equation
   8,001 : 17,325 = 17,325 : x
2. Step 2: Convert to fraction form
   8,001/17,325 = 17,325/x
3. Step 3: Cross multiply
   8,001x = 17,325 × 17,325
4. Step 4: Simplify right side
   8,001x = 300,155,625
5. Step 5: Solve for x
   x = 300,155,625/8,001
6. Step 6: Final answer
   x = 37,514.76