Finding the Third Proportional to 8,032 and 17,648

Step by Step Solution

1. Step 1: Write the proportion equation
   8,032 : 17,648 = 17,648 : x
2. Step 2: Convert to fraction form
   8,032/17,648 = 17,648/x
3. Step 3: Cross multiply
   8,032x = 17,648 × 17,648
4. Step 4: Simplify right side
   8,032x = 311,451,904
5. Step 5: Solve for x
   x = 311,451,904/8,032
6. Step 6: Final answer
   x = 38,776.38