Finding the Third Proportional to 1,567.27 and 2,093.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.27 : 2,093.77 = 2,093.77 : x
2. Step 2: Convert to fraction form
   1,567.27/2,093.77 = 2,093.77/x
3. Step 3: Cross multiply
   1,567.27x = 2,093.77 × 2,093.77
4. Step 4: Simplify right side
   1,567.27x = 4,383,854.49
5. Step 5: Solve for x
   x = 4,383,854.49/1,567.27
6. Step 6: Final answer
   x = 2,797.14