Finding the Third Proportional to 2,780.75 and 4,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.75 : 4,078.50 = 4,078.50 : x
2. Step 2: Convert to fraction form
   2,780.75/4,078.50 = 4,078.50/x
3. Step 3: Cross multiply
   2,780.75x = 4,078.50 × 4,078.50
4. Step 4: Simplify right side
   2,780.75x = 16,634,162.25
5. Step 5: Solve for x
   x = 16,634,162.25/2,780.75
6. Step 6: Final answer
   x = 5,981.90