Finding the Third Proportional to 33,025 and 71,314

Step by Step Solution

1. Step 1: Write the proportion equation
   33,025 : 71,314 = 71,314 : x
2. Step 2: Convert to fraction form
   33,025/71,314 = 71,314/x
3. Step 3: Cross multiply
   33,025x = 71,314 × 71,314
4. Step 4: Simplify right side
   33,025x = 5,085,686,596
5. Step 5: Solve for x
   x = 5,085,686,596/33,025
6. Step 6: Final answer
   x = 153,995.05