Finding the Third Proportional to 33,644 and 73,112

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644 : 73,112 = 73,112 : x
2. Step 2: Convert to fraction form
   33,644/73,112 = 73,112/x
3. Step 3: Cross multiply
   33,644x = 73,112 × 73,112
4. Step 4: Simplify right side
   33,644x = 5,345,364,544
5. Step 5: Solve for x
   x = 5,345,364,544/33,644
6. Step 6: Final answer
   x = 158,880.17