Finding the Third Proportional to 2,677.13 and 3,936.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,677.13 : 3,936.56 = 3,936.56 : x
2. Step 2: Convert to fraction form
   2,677.13/3,936.56 = 3,936.56/x
3. Step 3: Cross multiply
   2,677.13x = 3,936.56 × 3,936.56
4. Step 4: Simplify right side
   2,677.13x = 15,496,524.32
5. Step 5: Solve for x
   x = 15,496,524.32/2,677.13
6. Step 6: Final answer
   x = 5,788.49