Finding the Third Proportional to 10,814 and 22,204

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814 : 22,204 = 22,204 : x
2. Step 2: Convert to fraction form
   10,814/22,204 = 22,204/x
3. Step 3: Cross multiply
   10,814x = 22,204 × 22,204
4. Step 4: Simplify right side
   10,814x = 493,017,616
5. Step 5: Solve for x
   x = 493,017,616/10,814
6. Step 6: Final answer
   x = 45,590.68