Finding the Third Proportional to 1,946.11 and 3,019.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.11 : 3,019.78 = 3,019.78 : x
2. Step 2: Convert to fraction form
   1,946.11/3,019.78 = 3,019.78/x
3. Step 3: Cross multiply
   1,946.11x = 3,019.78 × 3,019.78
4. Step 4: Simplify right side
   1,946.11x = 9,119,078.80
5. Step 5: Solve for x
   x = 9,119,078.80/1,946.11
6. Step 6: Final answer
   x = 4,685.80