Finding the Third Proportional to 5,192 and 10,544

Step by Step Solution

1. Step 1: Write the proportion equation
   5,192 : 10,544 = 10,544 : x
2. Step 2: Convert to fraction form
   5,192/10,544 = 10,544/x
3. Step 3: Cross multiply
   5,192x = 10,544 × 10,544
4. Step 4: Simplify right side
   5,192x = 111,175,936
5. Step 5: Solve for x
   x = 111,175,936/5,192
6. Step 6: Final answer
   x = 21,412.93