Finding the Third Proportional to 5,682 and 12,051

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682 : 12,051 = 12,051 : x
2. Step 2: Convert to fraction form
   5,682/12,051 = 12,051/x
3. Step 3: Cross multiply
   5,682x = 12,051 × 12,051
4. Step 4: Simplify right side
   5,682x = 145,226,601
5. Step 5: Solve for x
   x = 145,226,601/5,682
6. Step 6: Final answer
   x = 25,559.06