Finding the Third Proportional to 622 and 1,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   622 : 1,323.50 = 1,323.50 : x
2. Step 2: Convert to fraction form
   622/1,323.50 = 1,323.50/x
3. Step 3: Cross multiply
   622x = 1,323.50 × 1,323.50
4. Step 4: Simplify right side
   622x = 1,751,652.25
5. Step 5: Solve for x
   x = 1,751,652.25/622
6. Step 6: Final answer
   x = 2,816.16