Finding the Third Proportional to 2,727 and 5,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,727 : 5,818.50 = 5,818.50 : x
2. Step 2: Convert to fraction form
   2,727/5,818.50 = 5,818.50/x
3. Step 3: Cross multiply
   2,727x = 5,818.50 × 5,818.50
4. Step 4: Simplify right side
   2,727x = 33,854,942.25
5. Step 5: Solve for x
   x = 33,854,942.25/2,727
6. Step 6: Final answer
   x = 12,414.72