Finding the Third Proportional to 2,727.75 and 5,949.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,727.75 : 5,949.75 = 5,949.75 : x
2. Step 2: Convert to fraction form
   2,727.75/5,949.75 = 5,949.75/x
3. Step 3: Cross multiply
   2,727.75x = 5,949.75 × 5,949.75
4. Step 4: Simplify right side
   2,727.75x = 35,399,525.06
5. Step 5: Solve for x
   x = 35,399,525.06/2,727.75
6. Step 6: Final answer
   x = 12,977.55