Finding the Third Proportional to 8,032 and 17,647

Step by Step Solution

1. Step 1: Write the proportion equation
   8,032 : 17,647 = 17,647 : x
2. Step 2: Convert to fraction form
   8,032/17,647 = 17,647/x
3. Step 3: Cross multiply
   8,032x = 17,647 × 17,647
4. Step 4: Simplify right side
   8,032x = 311,416,609
5. Step 5: Solve for x
   x = 311,416,609/8,032
6. Step 6: Final answer
   x = 38,771.99