Finding the Third Proportional to 5,746 and 12,180

Step by Step Solution

1. Step 1: Write the proportion equation
   5,746 : 12,180 = 12,180 : x
2. Step 2: Convert to fraction form
   5,746/12,180 = 12,180/x
3. Step 3: Cross multiply
   5,746x = 12,180 × 12,180
4. Step 4: Simplify right side
   5,746x = 148,352,400
5. Step 5: Solve for x
   x = 148,352,400/5,746
6. Step 6: Final answer
   x = 25,818.38