Finding the Third Proportional to 10,774 and 22,530

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774 : 22,530 = 22,530 : x
2. Step 2: Convert to fraction form
   10,774/22,530 = 22,530/x
3. Step 3: Cross multiply
   10,774x = 22,530 × 22,530
4. Step 4: Simplify right side
   10,774x = 507,600,900
5. Step 5: Solve for x
   x = 507,600,900/10,774
6. Step 6: Final answer
   x = 47,113.50