Finding the Third Proportional to 641 and 1,032.25

Step by Step Solution

1. Step 1: Write the proportion equation
   641 : 1,032.25 = 1,032.25 : x
2. Step 2: Convert to fraction form
   641/1,032.25 = 1,032.25/x
3. Step 3: Cross multiply
   641x = 1,032.25 × 1,032.25
4. Step 4: Simplify right side
   641x = 1,065,540.06
5. Step 5: Solve for x
   x = 1,065,540.06/641
6. Step 6: Final answer
   x = 1,662.31