Finding the Third Proportional to 10,613 and 20,182

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613 : 20,182 = 20,182 : x
2. Step 2: Convert to fraction form
   10,613/20,182 = 20,182/x
3. Step 3: Cross multiply
   10,613x = 20,182 × 20,182
4. Step 4: Simplify right side
   10,613x = 407,313,124
5. Step 5: Solve for x
   x = 407,313,124/10,613
6. Step 6: Final answer
   x = 38,378.70