Finding the Third Proportional to 2,871 and 3,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,871 : 3,451.50 = 3,451.50 : x
2. Step 2: Convert to fraction form
   2,871/3,451.50 = 3,451.50/x
3. Step 3: Cross multiply
   2,871x = 3,451.50 × 3,451.50
4. Step 4: Simplify right side
   2,871x = 11,912,852.25
5. Step 5: Solve for x
   x = 11,912,852.25/2,871
6. Step 6: Final answer
   x = 4,149.37