Finding the Third Proportional to 33,824 and 73,480

Step by Step Solution

1. Step 1: Write the proportion equation
   33,824 : 73,480 = 73,480 : x
2. Step 2: Convert to fraction form
   33,824/73,480 = 73,480/x
3. Step 3: Cross multiply
   33,824x = 73,480 × 73,480
4. Step 4: Simplify right side
   33,824x = 5,399,310,400
5. Step 5: Solve for x
   x = 5,399,310,400/33,824
6. Step 6: Final answer
   x = 159,629.56