Finding the Third Proportional to 13,968 and 33,180

Step by Step Solution

1. Step 1: Write the proportion equation
   13,968 : 33,180 = 33,180 : x
2. Step 2: Convert to fraction form
   13,968/33,180 = 33,180/x
3. Step 3: Cross multiply
   13,968x = 33,180 × 33,180
4. Step 4: Simplify right side
   13,968x = 1,100,912,400
5. Step 5: Solve for x
   x = 1,100,912,400/13,968
6. Step 6: Final answer
   x = 78,816.75