Finding the Third Proportional to 33,658 and 73,427

Step by Step Solution

1. Step 1: Write the proportion equation
   33,658 : 73,427 = 73,427 : x
2. Step 2: Convert to fraction form
   33,658/73,427 = 73,427/x
3. Step 3: Cross multiply
   33,658x = 73,427 × 73,427
4. Step 4: Simplify right side
   33,658x = 5,391,524,329
5. Step 5: Solve for x
   x = 5,391,524,329/33,658
6. Step 6: Final answer
   x = 160,185.52