Finding the Third Proportional to 22,195 and 47,144

Step by Step Solution

1. Step 1: Write the proportion equation
   22,195 : 47,144 = 47,144 : x
2. Step 2: Convert to fraction form
   22,195/47,144 = 47,144/x
3. Step 3: Cross multiply
   22,195x = 47,144 × 47,144
4. Step 4: Simplify right side
   22,195x = 2,222,556,736
5. Step 5: Solve for x
   x = 2,222,556,736/22,195
6. Step 6: Final answer
   x = 100,137.72