Finding the Third Proportional to 33,016 and 71,294

Step by Step Solution

1. Step 1: Write the proportion equation
   33,016 : 71,294 = 71,294 : x
2. Step 2: Convert to fraction form
   33,016/71,294 = 71,294/x
3. Step 3: Cross multiply
   33,016x = 71,294 × 71,294
4. Step 4: Simplify right side
   33,016x = 5,082,834,436
5. Step 5: Solve for x
   x = 5,082,834,436/33,016
6. Step 6: Final answer
   x = 153,950.64