Finding the Third Proportional to 33,680.25 and 73,617.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,680.25 : 73,617.75 = 73,617.75 : x
2. Step 2: Convert to fraction form
   33,680.25/73,617.75 = 73,617.75/x
3. Step 3: Cross multiply
   33,680.25x = 73,617.75 × 73,617.75
4. Step 4: Simplify right side
   33,680.25x = 5,419,573,115.06
5. Step 5: Solve for x
   x = 5,419,573,115.06/33,680.25
6. Step 6: Final answer
   x = 160,912.50