Finding the Third Proportional to 2,123.25 and 3,207.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.25 : 3,207.75 = 3,207.75 : x
2. Step 2: Convert to fraction form
   2,123.25/3,207.75 = 3,207.75/x
3. Step 3: Cross multiply
   2,123.25x = 3,207.75 × 3,207.75
4. Step 4: Simplify right side
   2,123.25x = 10,289,660.06
5. Step 5: Solve for x
   x = 10,289,660.06/2,123.25
6. Step 6: Final answer
   x = 4,846.18