Finding the Third Proportional to 33,383 and 71,505

Step by Step Solution

1. Step 1: Write the proportion equation
   33,383 : 71,505 = 71,505 : x
2. Step 2: Convert to fraction form
   33,383/71,505 = 71,505/x
3. Step 3: Cross multiply
   33,383x = 71,505 × 71,505
4. Step 4: Simplify right side
   33,383x = 5,112,965,025
5. Step 5: Solve for x
   x = 5,112,965,025/33,383
6. Step 6: Final answer
   x = 153,160.74