Finding the Third Proportional to 2,829.94 and 5,745.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,829.94 : 5,745.94 = 5,745.94 : x
2. Step 2: Convert to fraction form
   2,829.94/5,745.94 = 5,745.94/x
3. Step 3: Cross multiply
   2,829.94x = 5,745.94 × 5,745.94
4. Step 4: Simplify right side
   2,829.94x = 33,015,797.75
5. Step 5: Solve for x
   x = 33,015,797.75/2,829.94
6. Step 6: Final answer
   x = 11,666.62