Finding the Third Proportional to 11,682 and 18,139

Step by Step Solution

1. Step 1: Write the proportion equation
   11,682 : 18,139 = 18,139 : x
2. Step 2: Convert to fraction form
   11,682/18,139 = 18,139/x
3. Step 3: Cross multiply
   11,682x = 18,139 × 18,139
4. Step 4: Simplify right side
   11,682x = 329,023,321
5. Step 5: Solve for x
   x = 329,023,321/11,682
6. Step 6: Final answer
   x = 28,164.98