Finding the Third Proportional to 649.69 and 1,019.67

Step by Step Solution

1. Step 1: Write the proportion equation
   649.69 : 1,019.67 = 1,019.67 : x
2. Step 2: Convert to fraction form
   649.69/1,019.67 = 1,019.67/x
3. Step 3: Cross multiply
   649.69x = 1,019.67 × 1,019.67
4. Step 4: Simplify right side
   649.69x = 1,039,730.73
5. Step 5: Solve for x
   x = 1,039,730.73/649.69
6. Step 6: Final answer
   x = 1,600.36