Finding the Third Proportional to 10,084 and 13,182

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084 : 13,182 = 13,182 : x
2. Step 2: Convert to fraction form
   10,084/13,182 = 13,182/x
3. Step 3: Cross multiply
   10,084x = 13,182 × 13,182
4. Step 4: Simplify right side
   10,084x = 173,765,124
5. Step 5: Solve for x
   x = 173,765,124/10,084
6. Step 6: Final answer
   x = 17,231.77