Finding the Third Proportional to 35,781.75 and 52,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,781.75 : 52,578.75 = 52,578.75 : x
2. Step 2: Convert to fraction form
   35,781.75/52,578.75 = 52,578.75/x
3. Step 3: Cross multiply
   35,781.75x = 52,578.75 × 52,578.75
4. Step 4: Simplify right side
   35,781.75x = 2,764,524,951.56
5. Step 5: Solve for x
   x = 2,764,524,951.56/35,781.75
6. Step 6: Final answer
   x = 77,260.75