Finding the Third Proportional to 2,786.25 and 4,180

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786.25 : 4,180 = 4,180 : x
2. Step 2: Convert to fraction form
   2,786.25/4,180 = 4,180/x
3. Step 3: Cross multiply
   2,786.25x = 4,180 × 4,180
4. Step 4: Simplify right side
   2,786.25x = 17,472,400
5. Step 5: Solve for x
   x = 17,472,400/2,786.25
6. Step 6: Final answer
   x = 6,270.94