Finding the Third Proportional to 12,624 and 20,166

Step by Step Solution

1. Step 1: Write the proportion equation
   12,624 : 20,166 = 20,166 : x
2. Step 2: Convert to fraction form
   12,624/20,166 = 20,166/x
3. Step 3: Cross multiply
   12,624x = 20,166 × 20,166
4. Step 4: Simplify right side
   12,624x = 406,667,556
5. Step 5: Solve for x
   x = 406,667,556/12,624
6. Step 6: Final answer
   x = 32,213.84