Finding the Third Proportional to 799.50 and 1,074.38

Step by Step Solution

1. Step 1: Write the proportion equation
   799.50 : 1,074.38 = 1,074.38 : x
2. Step 2: Convert to fraction form
   799.50/1,074.38 = 1,074.38/x
3. Step 3: Cross multiply
   799.50x = 1,074.38 × 1,074.38
4. Step 4: Simplify right side
   799.50x = 1,154,281.64
5. Step 5: Solve for x
   x = 1,154,281.64/799.50
6. Step 6: Final answer
   x = 1,443.75