Finding the Third Proportional to 574.69 and 1,175.81

Step by Step Solution

1. Step 1: Write the proportion equation
   574.69 : 1,175.81 = 1,175.81 : x
2. Step 2: Convert to fraction form
   574.69/1,175.81 = 1,175.81/x
3. Step 3: Cross multiply
   574.69x = 1,175.81 × 1,175.81
4. Step 4: Simplify right side
   574.69x = 1,382,535.04
5. Step 5: Solve for x
   x = 1,382,535.04/574.69
6. Step 6: Final answer
   x = 2,405.72