Finding the Third Proportional to 10,196 and 21,544

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 21,544 = 21,544 : x
2. Step 2: Convert to fraction form
   10,196/21,544 = 21,544/x
3. Step 3: Cross multiply
   10,196x = 21,544 × 21,544
4. Step 4: Simplify right side
   10,196x = 464,143,936
5. Step 5: Solve for x
   x = 464,143,936/10,196
6. Step 6: Final answer
   x = 45,522.16