Finding the Third Proportional to 5,682 and 12,078

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682 : 12,078 = 12,078 : x
2. Step 2: Convert to fraction form
   5,682/12,078 = 12,078/x
3. Step 3: Cross multiply
   5,682x = 12,078 × 12,078
4. Step 4: Simplify right side
   5,682x = 145,878,084
5. Step 5: Solve for x
   x = 145,878,084/5,682
6. Step 6: Final answer
   x = 25,673.72