Finding the Third Proportional to 8,213.91 and 12,742.31

Step by Step Solution

1. Step 1: Write the proportion equation
   8,213.91 : 12,742.31 = 12,742.31 : x
2. Step 2: Convert to fraction form
   8,213.91/12,742.31 = 12,742.31/x
3. Step 3: Cross multiply
   8,213.91x = 12,742.31 × 12,742.31
4. Step 4: Simplify right side
   8,213.91x = 162,366,527.85
5. Step 5: Solve for x
   x = 162,366,527.85/8,213.91
6. Step 6: Final answer
   x = 19,767.27