Finding the Third Proportional to 8,213 and 12,743

Step by Step Solution

1. Step 1: Write the proportion equation
   8,213 : 12,743 = 12,743 : x
2. Step 2: Convert to fraction form
   8,213/12,743 = 12,743/x
3. Step 3: Cross multiply
   8,213x = 12,743 × 12,743
4. Step 4: Simplify right side
   8,213x = 162,384,049
5. Step 5: Solve for x
   x = 162,384,049/8,213
6. Step 6: Final answer
   x = 19,771.59