Finding the Third Proportional to 33,338 and 71,284

Step by Step Solution

1. Step 1: Write the proportion equation
   33,338 : 71,284 = 71,284 : x
2. Step 2: Convert to fraction form
   33,338/71,284 = 71,284/x
3. Step 3: Cross multiply
   33,338x = 71,284 × 71,284
4. Step 4: Simplify right side
   33,338x = 5,081,408,656
5. Step 5: Solve for x
   x = 5,081,408,656/33,338
6. Step 6: Final answer
   x = 152,420.92