Finding the Third Proportional to 33,255.75 and 72,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,255.75 : 72,978.75 = 72,978.75 : x
2. Step 2: Convert to fraction form
   33,255.75/72,978.75 = 72,978.75/x
3. Step 3: Cross multiply
   33,255.75x = 72,978.75 × 72,978.75
4. Step 4: Simplify right side
   33,255.75x = 5,325,897,951.56
5. Step 5: Solve for x
   x = 5,325,897,951.56/33,255.75
6. Step 6: Final answer
   x = 160,149.69