Finding the Third Proportional to 5,116 and 5,524

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116 : 5,524 = 5,524 : x
2. Step 2: Convert to fraction form
   5,116/5,524 = 5,524/x
3. Step 3: Cross multiply
   5,116x = 5,524 × 5,524
4. Step 4: Simplify right side
   5,116x = 30,514,576
5. Step 5: Solve for x
   x = 30,514,576/5,116
6. Step 6: Final answer
   x = 5,964.54