Finding the Third Proportional to 9,097 and 19,166

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097 : 19,166 = 19,166 : x
2. Step 2: Convert to fraction form
   9,097/19,166 = 19,166/x
3. Step 3: Cross multiply
   9,097x = 19,166 × 19,166
4. Step 4: Simplify right side
   9,097x = 367,335,556
5. Step 5: Solve for x
   x = 367,335,556/9,097
6. Step 6: Final answer
   x = 40,379.86