Finding the Third Proportional to 5,850.56 and 12,742.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,850.56 : 12,742.31 = 12,742.31 : x
2. Step 2: Convert to fraction form
   5,850.56/12,742.31 = 12,742.31/x
3. Step 3: Cross multiply
   5,850.56x = 12,742.31 × 12,742.31
4. Step 4: Simplify right side
   5,850.56x = 162,366,527.85
5. Step 5: Solve for x
   x = 162,366,527.85/5,850.56
6. Step 6: Final answer
   x = 27,752.29