Finding the Third Proportional to 10,820 and 13,734

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 13,734 = 13,734 : x
2. Step 2: Convert to fraction form
   10,820/13,734 = 13,734/x
3. Step 3: Cross multiply
   10,820x = 13,734 × 13,734
4. Step 4: Simplify right side
   10,820x = 188,622,756
5. Step 5: Solve for x
   x = 188,622,756/10,820
6. Step 6: Final answer
   x = 17,432.79