Finding the Third Proportional to 20,816 and 47,144

Step by Step Solution

1. Step 1: Write the proportion equation
   20,816 : 47,144 = 47,144 : x
2. Step 2: Convert to fraction form
   20,816/47,144 = 47,144/x
3. Step 3: Cross multiply
   20,816x = 47,144 × 47,144
4. Step 4: Simplify right side
   20,816x = 2,222,556,736
5. Step 5: Solve for x
   x = 2,222,556,736/20,816
6. Step 6: Final answer
   x = 106,771.56