Finding the Third Proportional to 1,268.72 and 2,942.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,268.72 : 2,942.86 = 2,942.86 : x
2. Step 2: Convert to fraction form
   1,268.72/2,942.86 = 2,942.86/x
3. Step 3: Cross multiply
   1,268.72x = 2,942.86 × 2,942.86
4. Step 4: Simplify right side
   1,268.72x = 8,660,421.30
5. Step 5: Solve for x
   x = 8,660,421.30/1,268.72
6. Step 6: Final answer
   x = 6,826.12