Finding the Third Proportional to 33,436 and 71,204

Step by Step Solution

1. Step 1: Write the proportion equation
   33,436 : 71,204 = 71,204 : x
2. Step 2: Convert to fraction form
   33,436/71,204 = 71,204/x
3. Step 3: Cross multiply
   33,436x = 71,204 × 71,204
4. Step 4: Simplify right side
   33,436x = 5,070,009,616
5. Step 5: Solve for x
   x = 5,070,009,616/33,436
6. Step 6: Final answer
   x = 151,633.26