Finding the Third Proportional to 5,182 and 10,544

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182 : 10,544 = 10,544 : x
2. Step 2: Convert to fraction form
   5,182/10,544 = 10,544/x
3. Step 3: Cross multiply
   5,182x = 10,544 × 10,544
4. Step 4: Simplify right side
   5,182x = 111,175,936
5. Step 5: Solve for x
   x = 111,175,936/5,182
6. Step 6: Final answer
   x = 21,454.25