Finding the Third Proportional to 10,322 and 19,166

Step by Step Solution

1. Step 1: Write the proportion equation
   10,322 : 19,166 = 19,166 : x
2. Step 2: Convert to fraction form
   10,322/19,166 = 19,166/x
3. Step 3: Cross multiply
   10,322x = 19,166 × 19,166
4. Step 4: Simplify right side
   10,322x = 367,335,556
5. Step 5: Solve for x
   x = 367,335,556/10,322
6. Step 6: Final answer
   x = 35,587.63