Finding the Third Proportional to 12,778.50 and 27,078.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778.50 : 27,078.75 = 27,078.75 : x
2. Step 2: Convert to fraction form
   12,778.50/27,078.75 = 27,078.75/x
3. Step 3: Cross multiply
   12,778.50x = 27,078.75 × 27,078.75
4. Step 4: Simplify right side
   12,778.50x = 733,258,701.56
5. Step 5: Solve for x
   x = 733,258,701.56/12,778.50
6. Step 6: Final answer
   x = 57,382.22