Finding the Third Proportional to 1,779 and 2,658.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,779 : 2,658.56 = 2,658.56 : x
2. Step 2: Convert to fraction form
   1,779/2,658.56 = 2,658.56/x
3. Step 3: Cross multiply
   1,779x = 2,658.56 × 2,658.56
4. Step 4: Simplify right side
   1,779x = 7,067,954.57
5. Step 5: Solve for x
   x = 7,067,954.57/1,779
6. Step 6: Final answer
   x = 3,972.99