Finding the Third Proportional to 33,682 and 73,264

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682 : 73,264 = 73,264 : x
2. Step 2: Convert to fraction form
   33,682/73,264 = 73,264/x
3. Step 3: Cross multiply
   33,682x = 73,264 × 73,264
4. Step 4: Simplify right side
   33,682x = 5,367,613,696
5. Step 5: Solve for x
   x = 5,367,613,696/33,682
6. Step 6: Final answer
   x = 159,361.49