Finding the Third Proportional to 33,067.50 and 77,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,067.50 : 77,965.50 = 77,965.50 : x
2. Step 2: Convert to fraction form
   33,067.50/77,965.50 = 77,965.50/x
3. Step 3: Cross multiply
   33,067.50x = 77,965.50 × 77,965.50
4. Step 4: Simplify right side
   33,067.50x = 6,078,619,190.25
5. Step 5: Solve for x
   x = 6,078,619,190.25/33,067.50
6. Step 6: Final answer
   x = 183,824.58