Finding the Third Proportional to 321.47 and 654.33

Step by Step Solution

1. Step 1: Write the proportion equation
   321.47 : 654.33 = 654.33 : x
2. Step 2: Convert to fraction form
   321.47/654.33 = 654.33/x
3. Step 3: Cross multiply
   321.47x = 654.33 × 654.33
4. Step 4: Simplify right side
   321.47x = 428,145.30
5. Step 5: Solve for x
   x = 428,145.30/321.47
6. Step 6: Final answer
   x = 1,331.84