Finding the Third Proportional to 19,404 and 45,814

Step by Step Solution

1. Step 1: Write the proportion equation
   19,404 : 45,814 = 45,814 : x
2. Step 2: Convert to fraction form
   19,404/45,814 = 45,814/x
3. Step 3: Cross multiply
   19,404x = 45,814 × 45,814
4. Step 4: Simplify right side
   19,404x = 2,098,922,596
5. Step 5: Solve for x
   x = 2,098,922,596/19,404
6. Step 6: Final answer
   x = 108,169.58