Finding the Third Proportional to 664 and 1,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   664 : 1,550.50 = 1,550.50 : x
2. Step 2: Convert to fraction form
   664/1,550.50 = 1,550.50/x
3. Step 3: Cross multiply
   664x = 1,550.50 × 1,550.50
4. Step 4: Simplify right side
   664x = 2,404,050.25
5. Step 5: Solve for x
   x = 2,404,050.25/664
6. Step 6: Final answer
   x = 3,620.56