Finding the Third Proportional to 33,759 and 73,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,759 : 73,363.50 = 73,363.50 : x
2. Step 2: Convert to fraction form
   33,759/73,363.50 = 73,363.50/x
3. Step 3: Cross multiply
   33,759x = 73,363.50 × 73,363.50
4. Step 4: Simplify right side
   33,759x = 5,382,203,132.25
5. Step 5: Solve for x
   x = 5,382,203,132.25/33,759
6. Step 6: Final answer
   x = 159,430.17