Finding the Third Proportional to 33,081 and 68,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,081 : 68,965.50 = 68,965.50 : x
2. Step 2: Convert to fraction form
   33,081/68,965.50 = 68,965.50/x
3. Step 3: Cross multiply
   33,081x = 68,965.50 × 68,965.50
4. Step 4: Simplify right side
   33,081x = 4,756,240,190.25
5. Step 5: Solve for x
   x = 4,756,240,190.25/33,081
6. Step 6: Final answer
   x = 143,775.59