Finding the Third Proportional to 10,182 and 11,142

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182 : 11,142 = 11,142 : x
2. Step 2: Convert to fraction form
   10,182/11,142 = 11,142/x
3. Step 3: Cross multiply
   10,182x = 11,142 × 11,142
4. Step 4: Simplify right side
   10,182x = 124,144,164
5. Step 5: Solve for x
   x = 124,144,164/10,182
6. Step 6: Final answer
   x = 12,192.51