Finding the Third Proportional to 2,562.75 and 4,242.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.75 : 4,242.38 = 4,242.38 : x
2. Step 2: Convert to fraction form
   2,562.75/4,242.38 = 4,242.38/x
3. Step 3: Cross multiply
   2,562.75x = 4,242.38 × 4,242.38
4. Step 4: Simplify right side
   2,562.75x = 17,997,745.64
5. Step 5: Solve for x
   x = 17,997,745.64/2,562.75
6. Step 6: Final answer
   x = 7,022.83