Finding the Third Proportional to 33,002.25 and 77,007.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,002.25 : 77,007.75 = 77,007.75 : x
2. Step 2: Convert to fraction form
   33,002.25/77,007.75 = 77,007.75/x
3. Step 3: Cross multiply
   33,002.25x = 77,007.75 × 77,007.75
4. Step 4: Simplify right side
   33,002.25x = 5,930,193,560.06
5. Step 5: Solve for x
   x = 5,930,193,560.06/33,002.25
6. Step 6: Final answer
   x = 179,690.58