Finding the Third Proportional to 3,136 and 5,608

Step by Step Solution

1. Step 1: Write the proportion equation
   3,136 : 5,608 = 5,608 : x
2. Step 2: Convert to fraction form
   3,136/5,608 = 5,608/x
3. Step 3: Cross multiply
   3,136x = 5,608 × 5,608
4. Step 4: Simplify right side
   3,136x = 31,449,664
5. Step 5: Solve for x
   x = 31,449,664/3,136
6. Step 6: Final answer
   x = 10,028.59