Finding the Third Proportional to 641.25 and 1,019.46

Step by Step Solution

1. Step 1: Write the proportion equation
   641.25 : 1,019.46 = 1,019.46 : x
2. Step 2: Convert to fraction form
   641.25/1,019.46 = 1,019.46/x
3. Step 3: Cross multiply
   641.25x = 1,019.46 × 1,019.46
4. Step 4: Simplify right side
   641.25x = 1,039,300.60
5. Step 5: Solve for x
   x = 1,039,300.60/641.25
6. Step 6: Final answer
   x = 1,620.74