Finding the Third Proportional to 33,795 and 73,350

Step by Step Solution

1. Step 1: Write the proportion equation
   33,795 : 73,350 = 73,350 : x
2. Step 2: Convert to fraction form
   33,795/73,350 = 73,350/x
3. Step 3: Cross multiply
   33,795x = 73,350 × 73,350
4. Step 4: Simplify right side
   33,795x = 5,380,222,500
5. Step 5: Solve for x
   x = 5,380,222,500/33,795
6. Step 6: Final answer
   x = 159,201.73