Finding the Third Proportional to 33,380 and 72,268

Step by Step Solution

1. Step 1: Write the proportion equation
   33,380 : 72,268 = 72,268 : x
2. Step 2: Convert to fraction form
   33,380/72,268 = 72,268/x
3. Step 3: Cross multiply
   33,380x = 72,268 × 72,268
4. Step 4: Simplify right side
   33,380x = 5,222,663,824
5. Step 5: Solve for x
   x = 5,222,663,824/33,380
6. Step 6: Final answer
   x = 156,460.87