Finding the Third Proportional to 33,344 and 71,014

Step by Step Solution

1. Step 1: Write the proportion equation
   33,344 : 71,014 = 71,014 : x
2. Step 2: Convert to fraction form
   33,344/71,014 = 71,014/x
3. Step 3: Cross multiply
   33,344x = 71,014 × 71,014
4. Step 4: Simplify right side
   33,344x = 5,042,988,196
5. Step 5: Solve for x
   x = 5,042,988,196/33,344
6. Step 6: Final answer
   x = 151,241.25