Finding the Third Proportional to 12,196 and 24,824

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 24,824 = 24,824 : x
2. Step 2: Convert to fraction form
   12,196/24,824 = 24,824/x
3. Step 3: Cross multiply
   12,196x = 24,824 × 24,824
4. Step 4: Simplify right side
   12,196x = 616,230,976
5. Step 5: Solve for x
   x = 616,230,976/12,196
6. Step 6: Final answer
   x = 50,527.30