Finding the Third Proportional to 827.72 and 1,723.78

Step by Step Solution

1. Step 1: Write the proportion equation
   827.72 : 1,723.78 = 1,723.78 : x
2. Step 2: Convert to fraction form
   827.72/1,723.78 = 1,723.78/x
3. Step 3: Cross multiply
   827.72x = 1,723.78 × 1,723.78
4. Step 4: Simplify right side
   827.72x = 2,971,421.80
5. Step 5: Solve for x
   x = 2,971,421.80/827.72
6. Step 6: Final answer
   x = 3,589.89