Finding the Third Proportional to 33,038 and 71,017

Step by Step Solution

1. Step 1: Write the proportion equation
   33,038 : 71,017 = 71,017 : x
2. Step 2: Convert to fraction form
   33,038/71,017 = 71,017/x
3. Step 3: Cross multiply
   33,038x = 71,017 × 71,017
4. Step 4: Simplify right side
   33,038x = 5,043,414,289
5. Step 5: Solve for x
   x = 5,043,414,289/33,038
6. Step 6: Final answer
   x = 152,654.95