Finding the Third Proportional to 2,863.38 and 5,965.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,863.38 : 5,965.75 = 5,965.75 : x
2. Step 2: Convert to fraction form
   2,863.38/5,965.75 = 5,965.75/x
3. Step 3: Cross multiply
   2,863.38x = 5,965.75 × 5,965.75
4. Step 4: Simplify right side
   2,863.38x = 35,590,173.06
5. Step 5: Solve for x
   x = 35,590,173.06/2,863.38
6. Step 6: Final answer
   x = 12,429.45