Finding the Third Proportional to 33,669 and 73,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,669 : 73,249.50 = 73,249.50 : x
2. Step 2: Convert to fraction form
   33,669/73,249.50 = 73,249.50/x
3. Step 3: Cross multiply
   33,669x = 73,249.50 × 73,249.50
4. Step 4: Simplify right side
   33,669x = 5,365,489,250.25
5. Step 5: Solve for x
   x = 5,365,489,250.25/33,669
6. Step 6: Final answer
   x = 159,359.92