Finding the Third Proportional to 8,570 and 13,166

Step by Step Solution

1. Step 1: Write the proportion equation
   8,570 : 13,166 = 13,166 : x
2. Step 2: Convert to fraction form
   8,570/13,166 = 13,166/x
3. Step 3: Cross multiply
   8,570x = 13,166 × 13,166
4. Step 4: Simplify right side
   8,570x = 173,343,556
5. Step 5: Solve for x
   x = 173,343,556/8,570
6. Step 6: Final answer
   x = 20,226.79