Finding the Third Proportional to 12,644 and 18,766

Step by Step Solution

1. Step 1: Write the proportion equation
   12,644 : 18,766 = 18,766 : x
2. Step 2: Convert to fraction form
   12,644/18,766 = 18,766/x
3. Step 3: Cross multiply
   12,644x = 18,766 × 18,766
4. Step 4: Simplify right side
   12,644x = 352,162,756
5. Step 5: Solve for x
   x = 352,162,756/12,644
6. Step 6: Final answer
   x = 27,852.16