Finding the Third Proportional to 10,686 and 22,950

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 22,950 = 22,950 : x
2. Step 2: Convert to fraction form
   10,686/22,950 = 22,950/x
3. Step 3: Cross multiply
   10,686x = 22,950 × 22,950
4. Step 4: Simplify right side
   10,686x = 526,702,500
5. Step 5: Solve for x
   x = 526,702,500/10,686
6. Step 6: Final answer
   x = 49,289.02