Finding the Third Proportional to 8,624 and 13,186

Step by Step Solution

1. Step 1: Write the proportion equation
   8,624 : 13,186 = 13,186 : x
2. Step 2: Convert to fraction form
   8,624/13,186 = 13,186/x
3. Step 3: Cross multiply
   8,624x = 13,186 × 13,186
4. Step 4: Simplify right side
   8,624x = 173,870,596
5. Step 5: Solve for x
   x = 173,870,596/8,624
6. Step 6: Final answer
   x = 20,161.25