Finding the Third Proportional to 8,570 and 12,823

Step by Step Solution

1. Step 1: Write the proportion equation
   8,570 : 12,823 = 12,823 : x
2. Step 2: Convert to fraction form
   8,570/12,823 = 12,823/x
3. Step 3: Cross multiply
   8,570x = 12,823 × 12,823
4. Step 4: Simplify right side
   8,570x = 164,429,329
5. Step 5: Solve for x
   x = 164,429,329/8,570
6. Step 6: Final answer
   x = 19,186.62