Finding the Third Proportional to 33,291 and 72,957

Step by Step Solution

1. Step 1: Write the proportion equation
   33,291 : 72,957 = 72,957 : x
2. Step 2: Convert to fraction form
   33,291/72,957 = 72,957/x
3. Step 3: Cross multiply
   33,291x = 72,957 × 72,957
4. Step 4: Simplify right side
   33,291x = 5,322,723,849
5. Step 5: Solve for x
   x = 5,322,723,849/33,291
6. Step 6: Final answer
   x = 159,884.77