Finding the Third Proportional to 11,006 and 15,142

Step by Step Solution

1. Step 1: Write the proportion equation
   11,006 : 15,142 = 15,142 : x
2. Step 2: Convert to fraction form
   11,006/15,142 = 15,142/x
3. Step 3: Cross multiply
   11,006x = 15,142 × 15,142
4. Step 4: Simplify right side
   11,006x = 229,280,164
5. Step 5: Solve for x
   x = 229,280,164/11,006
6. Step 6: Final answer
   x = 20,832.29