Finding the Third Proportional to 12,824 and 20,036

Step by Step Solution

1. Step 1: Write the proportion equation
   12,824 : 20,036 = 20,036 : x
2. Step 2: Convert to fraction form
   12,824/20,036 = 20,036/x
3. Step 3: Cross multiply
   12,824x = 20,036 × 20,036
4. Step 4: Simplify right side
   12,824x = 401,441,296
5. Step 5: Solve for x
   x = 401,441,296/12,824
6. Step 6: Final answer
   x = 31,303.91