Finding the Third Proportional to 11,142 and 17,630

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142 : 17,630 = 17,630 : x
2. Step 2: Convert to fraction form
   11,142/17,630 = 17,630/x
3. Step 3: Cross multiply
   11,142x = 17,630 × 17,630
4. Step 4: Simplify right side
   11,142x = 310,816,900
5. Step 5: Solve for x
   x = 310,816,900/11,142
6. Step 6: Final answer
   x = 27,895.97