Finding the Third Proportional to 33,347 and 71,302

Step by Step Solution

1. Step 1: Write the proportion equation
   33,347 : 71,302 = 71,302 : x
2. Step 2: Convert to fraction form
   33,347/71,302 = 71,302/x
3. Step 3: Cross multiply
   33,347x = 71,302 × 71,302
4. Step 4: Simplify right side
   33,347x = 5,083,975,204
5. Step 5: Solve for x
   x = 5,083,975,204/33,347
6. Step 6: Final answer
   x = 152,456.75