Finding the Third Proportional to 10,648 and 22,662

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 22,662 = 22,662 : x
2. Step 2: Convert to fraction form
   10,648/22,662 = 22,662/x
3. Step 3: Cross multiply
   10,648x = 22,662 × 22,662
4. Step 4: Simplify right side
   10,648x = 513,566,244
5. Step 5: Solve for x
   x = 513,566,244/10,648
6. Step 6: Final answer
   x = 48,231.24