Finding the Third Proportional to 10,818 and 22,458

Step by Step Solution

1. Step 1: Write the proportion equation
   10,818 : 22,458 = 22,458 : x
2. Step 2: Convert to fraction form
   10,818/22,458 = 22,458/x
3. Step 3: Cross multiply
   10,818x = 22,458 × 22,458
4. Step 4: Simplify right side
   10,818x = 504,361,764
5. Step 5: Solve for x
   x = 504,361,764/10,818
6. Step 6: Final answer
   x = 46,622.46