Finding the Third Proportional to 9,828 and 19,158

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828 : 19,158 = 19,158 : x
2. Step 2: Convert to fraction form
   9,828/19,158 = 19,158/x
3. Step 3: Cross multiply
   9,828x = 19,158 × 19,158
4. Step 4: Simplify right side
   9,828x = 367,028,964
5. Step 5: Solve for x
   x = 367,028,964/9,828
6. Step 6: Final answer
   x = 37,345.23