Finding the Third Proportional to 799.50 and 1,022.25

Step by Step Solution

1. Step 1: Write the proportion equation
   799.50 : 1,022.25 = 1,022.25 : x
2. Step 2: Convert to fraction form
   799.50/1,022.25 = 1,022.25/x
3. Step 3: Cross multiply
   799.50x = 1,022.25 × 1,022.25
4. Step 4: Simplify right side
   799.50x = 1,044,995.06
5. Step 5: Solve for x
   x = 1,044,995.06/799.50
6. Step 6: Final answer
   x = 1,307.06