Finding the Third Proportional to 10,774 and 16,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774 : 16,741.50 = 16,741.50 : x
2. Step 2: Convert to fraction form
   10,774/16,741.50 = 16,741.50/x
3. Step 3: Cross multiply
   10,774x = 16,741.50 × 16,741.50
4. Step 4: Simplify right side
   10,774x = 280,277,822.25
5. Step 5: Solve for x
   x = 280,277,822.25/10,774
6. Step 6: Final answer
   x = 26,014.28