Finding the Third Proportional to 33,011 and 71,282

Step by Step Solution

1. Step 1: Write the proportion equation
   33,011 : 71,282 = 71,282 : x
2. Step 2: Convert to fraction form
   33,011/71,282 = 71,282/x
3. Step 3: Cross multiply
   33,011x = 71,282 × 71,282
4. Step 4: Simplify right side
   33,011x = 5,081,123,524
5. Step 5: Solve for x
   x = 5,081,123,524/33,011
6. Step 6: Final answer
   x = 153,922.13