Finding the Third Proportional to 33,853 and 73,355

Step by Step Solution

1. Step 1: Write the proportion equation
   33,853 : 73,355 = 73,355 : x
2. Step 2: Convert to fraction form
   33,853/73,355 = 73,355/x
3. Step 3: Cross multiply
   33,853x = 73,355 × 73,355
4. Step 4: Simplify right side
   33,853x = 5,380,956,025
5. Step 5: Solve for x
   x = 5,380,956,025/33,853
6. Step 6: Final answer
   x = 158,950.64