Finding the Third Proportional to 2,845 and 3,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,845 : 3,871.50 = 3,871.50 : x
2. Step 2: Convert to fraction form
   2,845/3,871.50 = 3,871.50/x
3. Step 3: Cross multiply
   2,845x = 3,871.50 × 3,871.50
4. Step 4: Simplify right side
   2,845x = 14,988,512.25
5. Step 5: Solve for x
   x = 14,988,512.25/2,845
6. Step 6: Final answer
   x = 5,268.37