Finding the Third Proportional to 11,682 and 16,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,682 : 16,681.50 = 16,681.50 : x
2. Step 2: Convert to fraction form
   11,682/16,681.50 = 16,681.50/x
3. Step 3: Cross multiply
   11,682x = 16,681.50 × 16,681.50
4. Step 4: Simplify right side
   11,682x = 278,272,442.25
5. Step 5: Solve for x
   x = 278,272,442.25/11,682
6. Step 6: Final answer
   x = 23,820.62