Finding the Third Proportional to 2,647.38 and 3,894.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.38 : 3,894.06 = 3,894.06 : x
2. Step 2: Convert to fraction form
   2,647.38/3,894.06 = 3,894.06/x
3. Step 3: Cross multiply
   2,647.38x = 3,894.06 × 3,894.06
4. Step 4: Simplify right side
   2,647.38x = 15,163,722.75
5. Step 5: Solve for x
   x = 15,163,722.75/2,647.38
6. Step 6: Final answer
   x = 5,727.83