Finding the Third Proportional to 33,997.50 and 73,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,997.50 : 73,921.50 = 73,921.50 : x
2. Step 2: Convert to fraction form
   33,997.50/73,921.50 = 73,921.50/x
3. Step 3: Cross multiply
   33,997.50x = 73,921.50 × 73,921.50
4. Step 4: Simplify right side
   33,997.50x = 5,464,388,162.25
5. Step 5: Solve for x
   x = 5,464,388,162.25/33,997.50
6. Step 6: Final answer
   x = 160,729.12