Finding the Third Proportional to 10,774 and 12,538

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774 : 12,538 = 12,538 : x
2. Step 2: Convert to fraction form
   10,774/12,538 = 12,538/x
3. Step 3: Cross multiply
   10,774x = 12,538 × 12,538
4. Step 4: Simplify right side
   10,774x = 157,201,444
5. Step 5: Solve for x
   x = 157,201,444/10,774
6. Step 6: Final answer
   x = 14,590.82