Finding the Third Proportional to 1,421.25 and 3,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.25 : 3,105.75 = 3,105.75 : x
2. Step 2: Convert to fraction form
   1,421.25/3,105.75 = 3,105.75/x
3. Step 3: Cross multiply
   1,421.25x = 3,105.75 × 3,105.75
4. Step 4: Simplify right side
   1,421.25x = 9,645,683.06
5. Step 5: Solve for x
   x = 9,645,683.06/1,421.25
6. Step 6: Final answer
   x = 6,786.76