Finding the Third Proportional to 2,008.50 and 4,171

Step by Step Solution

1. Step 1: Write the proportion equation
   2,008.50 : 4,171 = 4,171 : x
2. Step 2: Convert to fraction form
   2,008.50/4,171 = 4,171/x
3. Step 3: Cross multiply
   2,008.50x = 4,171 × 4,171
4. Step 4: Simplify right side
   2,008.50x = 17,397,241
5. Step 5: Solve for x
   x = 17,397,241/2,008.50
6. Step 6: Final answer
   x = 8,661.81