Finding the Third Proportional to 641.50 and 952.25

Step by Step Solution

1. Step 1: Write the proportion equation
   641.50 : 952.25 = 952.25 : x
2. Step 2: Convert to fraction form
   641.50/952.25 = 952.25/x
3. Step 3: Cross multiply
   641.50x = 952.25 × 952.25
4. Step 4: Simplify right side
   641.50x = 906,780.06
5. Step 5: Solve for x
   x = 906,780.06/641.50
6. Step 6: Final answer
   x = 1,413.53