Finding the Third Proportional to 33,978 and 73,185

Step by Step Solution

1. Step 1: Write the proportion equation
   33,978 : 73,185 = 73,185 : x
2. Step 2: Convert to fraction form
   33,978/73,185 = 73,185/x
3. Step 3: Cross multiply
   33,978x = 73,185 × 73,185
4. Step 4: Simplify right side
   33,978x = 5,356,044,225
5. Step 5: Solve for x
   x = 5,356,044,225/33,978
6. Step 6: Final answer
   x = 157,632.71