Finding the Third Proportional to 33,408 and 71,264

Step by Step Solution

1. Step 1: Write the proportion equation
   33,408 : 71,264 = 71,264 : x
2. Step 2: Convert to fraction form
   33,408/71,264 = 71,264/x
3. Step 3: Cross multiply
   33,408x = 71,264 × 71,264
4. Step 4: Simplify right side
   33,408x = 5,078,557,696
5. Step 5: Solve for x
   x = 5,078,557,696/33,408
6. Step 6: Final answer
   x = 152,016.21