Finding the Third Proportional to 11,142 and 12,033

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142 : 12,033 = 12,033 : x
2. Step 2: Convert to fraction form
   11,142/12,033 = 12,033/x
3. Step 3: Cross multiply
   11,142x = 12,033 × 12,033
4. Step 4: Simplify right side
   11,142x = 144,793,089
5. Step 5: Solve for x
   x = 144,793,089/11,142
6. Step 6: Final answer
   x = 12,995.25