Finding the Third Proportional to 8,139 and 17,771

Step by Step Solution

1. Step 1: Write the proportion equation
   8,139 : 17,771 = 17,771 : x
2. Step 2: Convert to fraction form
   8,139/17,771 = 17,771/x
3. Step 3: Cross multiply
   8,139x = 17,771 × 17,771
4. Step 4: Simplify right side
   8,139x = 315,808,441
5. Step 5: Solve for x
   x = 315,808,441/8,139
6. Step 6: Final answer
   x = 38,801.87