Finding the Third Proportional to 7,569 and 12,180

Step by Step Solution

1. Step 1: Write the proportion equation
   7,569 : 12,180 = 12,180 : x
2. Step 2: Convert to fraction form
   7,569/12,180 = 12,180/x
3. Step 3: Cross multiply
   7,569x = 12,180 × 12,180
4. Step 4: Simplify right side
   7,569x = 148,352,400
5. Step 5: Solve for x
   x = 148,352,400/7,569
6. Step 6: Final answer
   x = 19,600