Finding the Third Proportional to 13,824 and 30,240

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 30,240 = 30,240 : x
2. Step 2: Convert to fraction form
   13,824/30,240 = 30,240/x
3. Step 3: Cross multiply
   13,824x = 30,240 × 30,240
4. Step 4: Simplify right side
   13,824x = 914,457,600
5. Step 5: Solve for x
   x = 914,457,600/13,824
6. Step 6: Final answer
   x = 66,150