Finding the Third Proportional to 1,965.75 and 2,867.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.75 : 2,867.56 = 2,867.56 : x
2. Step 2: Convert to fraction form
   1,965.75/2,867.56 = 2,867.56/x
3. Step 3: Cross multiply
   1,965.75x = 2,867.56 × 2,867.56
4. Step 4: Simplify right side
   1,965.75x = 8,222,914.69
5. Step 5: Solve for x
   x = 8,222,914.69/1,965.75
6. Step 6: Final answer
   x = 4,183.09