Finding the Third Proportional to 33,644 and 73,181

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644 : 73,181 = 73,181 : x
2. Step 2: Convert to fraction form
   33,644/73,181 = 73,181/x
3. Step 3: Cross multiply
   33,644x = 73,181 × 73,181
4. Step 4: Simplify right side
   33,644x = 5,355,458,761
5. Step 5: Solve for x
   x = 5,355,458,761/33,644
6. Step 6: Final answer
   x = 159,180.20