Finding the Third Proportional to 33,406 and 73,384

Step by Step Solution

1. Step 1: Write the proportion equation
   33,406 : 73,384 = 73,384 : x
2. Step 2: Convert to fraction form
   33,406/73,384 = 73,384/x
3. Step 3: Cross multiply
   33,406x = 73,384 × 73,384
4. Step 4: Simplify right side
   33,406x = 5,385,211,456
5. Step 5: Solve for x
   x = 5,385,211,456/33,406
6. Step 6: Final answer
   x = 161,204.92