Finding the Third Proportional to 5,742.56 and 12,718.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,742.56 : 12,718.69 = 12,718.69 : x
2. Step 2: Convert to fraction form
   5,742.56/12,718.69 = 12,718.69/x
3. Step 3: Cross multiply
   5,742.56x = 12,718.69 × 12,718.69
4. Step 4: Simplify right side
   5,742.56x = 161,765,011.72
5. Step 5: Solve for x
   x = 161,765,011.72/5,742.56
6. Step 6: Final answer
   x = 28,169.48