Finding the Third Proportional to 2,894.25 and 4,233.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,894.25 : 4,233.38 = 4,233.38 : x
2. Step 2: Convert to fraction form
   2,894.25/4,233.38 = 4,233.38/x
3. Step 3: Cross multiply
   2,894.25x = 4,233.38 × 4,233.38
4. Step 4: Simplify right side
   2,894.25x = 17,921,463.89
5. Step 5: Solve for x
   x = 17,921,463.89/2,894.25
6. Step 6: Final answer
   x = 6,192.09