Finding the Third Proportional to 19,204 and 45,802

Step by Step Solution

1. Step 1: Write the proportion equation
   19,204 : 45,802 = 45,802 : x
2. Step 2: Convert to fraction form
   19,204/45,802 = 45,802/x
3. Step 3: Cross multiply
   19,204x = 45,802 × 45,802
4. Step 4: Simplify right side
   19,204x = 2,097,823,204
5. Step 5: Solve for x
   x = 2,097,823,204/19,204
6. Step 6: Final answer
   x = 109,238.87