Finding the Third Proportional to 2,737.25 and 4,227.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,737.25 : 4,227.75 = 4,227.75 : x
2. Step 2: Convert to fraction form
   2,737.25/4,227.75 = 4,227.75/x
3. Step 3: Cross multiply
   2,737.25x = 4,227.75 × 4,227.75
4. Step 4: Simplify right side
   2,737.25x = 17,873,870.06
5. Step 5: Solve for x
   x = 17,873,870.06/2,737.25
6. Step 6: Final answer
   x = 6,529.86