Finding the Third Proportional to 2,837.25 and 4,314.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,837.25 : 4,314.38 = 4,314.38 : x
2. Step 2: Convert to fraction form
   2,837.25/4,314.38 = 4,314.38/x
3. Step 3: Cross multiply
   2,837.25x = 4,314.38 × 4,314.38
4. Step 4: Simplify right side
   2,837.25x = 18,613,831.64
5. Step 5: Solve for x
   x = 18,613,831.64/2,837.25
6. Step 6: Final answer
   x = 6,560.52