Finding the Third Proportional to 5,136 and 5,508

Step by Step Solution

1. Step 1: Write the proportion equation
   5,136 : 5,508 = 5,508 : x
2. Step 2: Convert to fraction form
   5,136/5,508 = 5,508/x
3. Step 3: Cross multiply
   5,136x = 5,508 × 5,508
4. Step 4: Simplify right side
   5,136x = 30,338,064
5. Step 5: Solve for x
   x = 30,338,064/5,136
6. Step 6: Final answer
   x = 5,906.94