Finding the Third Proportional to 641.50 and 1,404.25

Step by Step Solution

1. Step 1: Write the proportion equation
   641.50 : 1,404.25 = 1,404.25 : x
2. Step 2: Convert to fraction form
   641.50/1,404.25 = 1,404.25/x
3. Step 3: Cross multiply
   641.50x = 1,404.25 × 1,404.25
4. Step 4: Simplify right side
   641.50x = 1,971,918.06
5. Step 5: Solve for x
   x = 1,971,918.06/641.50
6. Step 6: Final answer
   x = 3,073.92