Finding the Third Proportional to 5,034.50 and 5,399

Step by Step Solution

1. Step 1: Write the proportion equation
   5,034.50 : 5,399 = 5,399 : x
2. Step 2: Convert to fraction form
   5,034.50/5,399 = 5,399/x
3. Step 3: Cross multiply
   5,034.50x = 5,399 × 5,399
4. Step 4: Simplify right side
   5,034.50x = 29,149,201
5. Step 5: Solve for x
   x = 29,149,201/5,034.50
6. Step 6: Final answer
   x = 5,789.89