Finding the Third Proportional to 10,164 and 11,124

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 11,124 = 11,124 : x
2. Step 2: Convert to fraction form
   10,164/11,124 = 11,124/x
3. Step 3: Cross multiply
   10,164x = 11,124 × 11,124
4. Step 4: Simplify right side
   10,164x = 123,743,376
5. Step 5: Solve for x
   x = 123,743,376/10,164
6. Step 6: Final answer
   x = 12,174.67