Finding the Third Proportional to 11,580 and 18,142

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 18,142 = 18,142 : x
2. Step 2: Convert to fraction form
   11,580/18,142 = 18,142/x
3. Step 3: Cross multiply
   11,580x = 18,142 × 18,142
4. Step 4: Simplify right side
   11,580x = 329,132,164
5. Step 5: Solve for x
   x = 329,132,164/11,580
6. Step 6: Final answer
   x = 28,422.47