Finding the Third Proportional to 33,017 and 72,295

Step by Step Solution

1. Step 1: Write the proportion equation
   33,017 : 72,295 = 72,295 : x
2. Step 2: Convert to fraction form
   33,017/72,295 = 72,295/x
3. Step 3: Cross multiply
   33,017x = 72,295 × 72,295
4. Step 4: Simplify right side
   33,017x = 5,226,567,025
5. Step 5: Solve for x
   x = 5,226,567,025/33,017
6. Step 6: Final answer
   x = 158,299.27