Finding the Third Proportional to 5,682 and 12,036

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682 : 12,036 = 12,036 : x
2. Step 2: Convert to fraction form
   5,682/12,036 = 12,036/x
3. Step 3: Cross multiply
   5,682x = 12,036 × 12,036
4. Step 4: Simplify right side
   5,682x = 144,865,296
5. Step 5: Solve for x
   x = 144,865,296/5,682
6. Step 6: Final answer
   x = 25,495.48