Finding the Third Proportional to 8,101 and 17,666

Step by Step Solution

1. Step 1: Write the proportion equation
   8,101 : 17,666 = 17,666 : x
2. Step 2: Convert to fraction form
   8,101/17,666 = 17,666/x
3. Step 3: Cross multiply
   8,101x = 17,666 × 17,666
4. Step 4: Simplify right side
   8,101x = 312,087,556
5. Step 5: Solve for x
   x = 312,087,556/8,101
6. Step 6: Final answer
   x = 38,524.57