Finding the Third Proportional to 33,382 and 71,366

Step by Step Solution

1. Step 1: Write the proportion equation
   33,382 : 71,366 = 71,366 : x
2. Step 2: Convert to fraction form
   33,382/71,366 = 71,366/x
3. Step 3: Cross multiply
   33,382x = 71,366 × 71,366
4. Step 4: Simplify right side
   33,382x = 5,093,105,956
5. Step 5: Solve for x
   x = 5,093,105,956/33,382
6. Step 6: Final answer
   x = 152,570.43