Finding the Third Proportional to 33,544 and 72,264

Step by Step Solution

1. Step 1: Write the proportion equation
   33,544 : 72,264 = 72,264 : x
2. Step 2: Convert to fraction form
   33,544/72,264 = 72,264/x
3. Step 3: Cross multiply
   33,544x = 72,264 × 72,264
4. Step 4: Simplify right side
   33,544x = 5,222,085,696
5. Step 5: Solve for x
   x = 5,222,085,696/33,544
6. Step 6: Final answer
   x = 155,678.68