Finding the Third Proportional to 33,661.50 and 72,894.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,661.50 : 72,894.75 = 72,894.75 : x
2. Step 2: Convert to fraction form
   33,661.50/72,894.75 = 72,894.75/x
3. Step 3: Cross multiply
   33,661.50x = 72,894.75 × 72,894.75
4. Step 4: Simplify right side
   33,661.50x = 5,313,644,577.56
5. Step 5: Solve for x
   x = 5,313,644,577.56/33,661.50
6. Step 6: Final answer
   x = 157,855.25