Finding the Third Proportional to 649.69 and 1,574.72

Step by Step Solution

1. Step 1: Write the proportion equation
   649.69 : 1,574.72 = 1,574.72 : x
2. Step 2: Convert to fraction form
   649.69/1,574.72 = 1,574.72/x
3. Step 3: Cross multiply
   649.69x = 1,574.72 × 1,574.72
4. Step 4: Simplify right side
   649.69x = 2,479,739.14
5. Step 5: Solve for x
   x = 2,479,739.14/649.69
6. Step 6: Final answer
   x = 3,816.82