Finding the Third Proportional to 727 and 1,574.69

Step by Step Solution

1. Step 1: Write the proportion equation
   727 : 1,574.69 = 1,574.69 : x
2. Step 2: Convert to fraction form
   727/1,574.69 = 1,574.69/x
3. Step 3: Cross multiply
   727x = 1,574.69 × 1,574.69
4. Step 4: Simplify right side
   727x = 2,479,640.72
5. Step 5: Solve for x
   x = 2,479,640.72/727
6. Step 6: Final answer
   x = 3,410.79