Finding the Third Proportional to 9,178 and 19,802

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178 : 19,802 = 19,802 : x
2. Step 2: Convert to fraction form
   9,178/19,802 = 19,802/x
3. Step 3: Cross multiply
   9,178x = 19,802 × 19,802
4. Step 4: Simplify right side
   9,178x = 392,119,204
5. Step 5: Solve for x
   x = 392,119,204/9,178
6. Step 6: Final answer
   x = 42,723.82