Finding the Third Proportional to 799.50 and 1,059

Step by Step Solution

1. Step 1: Write the proportion equation
   799.50 : 1,059 = 1,059 : x
2. Step 2: Convert to fraction form
   799.50/1,059 = 1,059/x
3. Step 3: Cross multiply
   799.50x = 1,059 × 1,059
4. Step 4: Simplify right side
   799.50x = 1,121,481
5. Step 5: Solve for x
   x = 1,121,481/799.50
6. Step 6: Final answer
   x = 1,402.73