Finding the Third Proportional to 9,832 and 19,166

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832 : 19,166 = 19,166 : x
2. Step 2: Convert to fraction form
   9,832/19,166 = 19,166/x
3. Step 3: Cross multiply
   9,832x = 19,166 × 19,166
4. Step 4: Simplify right side
   9,832x = 367,335,556
5. Step 5: Solve for x
   x = 367,335,556/9,832
6. Step 6: Final answer
   x = 37,361.22