Finding the Third Proportional to 1,949.50 and 2,864.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.50 : 2,864.31 = 2,864.31 : x
2. Step 2: Convert to fraction form
   1,949.50/2,864.31 = 2,864.31/x
3. Step 3: Cross multiply
   1,949.50x = 2,864.31 × 2,864.31
4. Step 4: Simplify right side
   1,949.50x = 8,204,286.10
5. Step 5: Solve for x
   x = 8,204,286.10/1,949.50
6. Step 6: Final answer
   x = 4,208.41