Finding the Third Proportional to 33,820 and 73,471

Step by Step Solution

1. Step 1: Write the proportion equation
   33,820 : 73,471 = 73,471 : x
2. Step 2: Convert to fraction form
   33,820/73,471 = 73,471/x
3. Step 3: Cross multiply
   33,820x = 73,471 × 73,471
4. Step 4: Simplify right side
   33,820x = 5,397,987,841
5. Step 5: Solve for x
   x = 5,397,987,841/33,820
6. Step 6: Final answer
   x = 159,609.34