Finding the Third Proportional to 32,946.75 and 50,647.78

Step by Step Solution

1. Step 1: Write the proportion equation
   32,946.75 : 50,647.78 = 50,647.78 : x
2. Step 2: Convert to fraction form
   32,946.75/50,647.78 = 50,647.78/x
3. Step 3: Cross multiply
   32,946.75x = 50,647.78 × 50,647.78
4. Step 4: Simplify right side
   32,946.75x = 2,565,197,745.55
5. Step 5: Solve for x
   x = 2,565,197,745.55/32,946.75
6. Step 6: Final answer
   x = 77,858.90