Finding the Third Proportional to 33,018 and 71,295

Step by Step Solution

1. Step 1: Write the proportion equation
   33,018 : 71,295 = 71,295 : x
2. Step 2: Convert to fraction form
   33,018/71,295 = 71,295/x
3. Step 3: Cross multiply
   33,018x = 71,295 × 71,295
4. Step 4: Simplify right side
   33,018x = 5,082,977,025
5. Step 5: Solve for x
   x = 5,082,977,025/33,018
6. Step 6: Final answer
   x = 153,945.64