Finding the Third Proportional to 5,110 and 5,530

Step by Step Solution

1. Step 1: Write the proportion equation
   5,110 : 5,530 = 5,530 : x
2. Step 2: Convert to fraction form
   5,110/5,530 = 5,530/x
3. Step 3: Cross multiply
   5,110x = 5,530 × 5,530
4. Step 4: Simplify right side
   5,110x = 30,580,900
5. Step 5: Solve for x
   x = 30,580,900/5,110
6. Step 6: Final answer
   x = 5,984.52