Finding the Third Proportional to 8,138 and 17,766

Step by Step Solution

1. Step 1: Write the proportion equation
   8,138 : 17,766 = 17,766 : x
2. Step 2: Convert to fraction form
   8,138/17,766 = 17,766/x
3. Step 3: Cross multiply
   8,138x = 17,766 × 17,766
4. Step 4: Simplify right side
   8,138x = 315,630,756
5. Step 5: Solve for x
   x = 315,630,756/8,138
6. Step 6: Final answer
   x = 38,784.81