Finding the Third Proportional to 33,094 and 71,371

Step by Step Solution

1. Step 1: Write the proportion equation
   33,094 : 71,371 = 71,371 : x
2. Step 2: Convert to fraction form
   33,094/71,371 = 71,371/x
3. Step 3: Cross multiply
   33,094x = 71,371 × 71,371
4. Step 4: Simplify right side
   33,094x = 5,093,819,641
5. Step 5: Solve for x
   x = 5,093,819,641/33,094
6. Step 6: Final answer
   x = 153,919.73