Finding the Third Proportional to 2,314.69 and 3,297.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.69 : 3,297.38 = 3,297.38 : x
2. Step 2: Convert to fraction form
   2,314.69/3,297.38 = 3,297.38/x
3. Step 3: Cross multiply
   2,314.69x = 3,297.38 × 3,297.38
4. Step 4: Simplify right side
   2,314.69x = 10,872,681.89
5. Step 5: Solve for x
   x = 10,872,681.89/2,314.69
6. Step 6: Final answer
   x = 4,697.26