Finding the Third Proportional to 10,774 and 23,248

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774 : 23,248 = 23,248 : x
2. Step 2: Convert to fraction form
   10,774/23,248 = 23,248/x
3. Step 3: Cross multiply
   10,774x = 23,248 × 23,248
4. Step 4: Simplify right side
   10,774x = 540,469,504
5. Step 5: Solve for x
   x = 540,469,504/10,774
6. Step 6: Final answer
   x = 50,164.24