Finding the Third Proportional to 33,001 and 67,540

Step by Step Solution

1. Step 1: Write the proportion equation
   33,001 : 67,540 = 67,540 : x
2. Step 2: Convert to fraction form
   33,001/67,540 = 67,540/x
3. Step 3: Cross multiply
   33,001x = 67,540 × 67,540
4. Step 4: Simplify right side
   33,001x = 4,561,651,600
5. Step 5: Solve for x
   x = 4,561,651,600/33,001
6. Step 6: Final answer
   x = 138,227.68