Finding the Third Proportional to 714 and 1,760.25

Step by Step Solution

1. Step 1: Write the proportion equation
   714 : 1,760.25 = 1,760.25 : x
2. Step 2: Convert to fraction form
   714/1,760.25 = 1,760.25/x
3. Step 3: Cross multiply
   714x = 1,760.25 × 1,760.25
4. Step 4: Simplify right side
   714x = 3,098,480.06
5. Step 5: Solve for x
   x = 3,098,480.06/714
6. Step 6: Final answer
   x = 4,339.61