Finding the Third Proportional to 6,537 and 12,741

Step by Step Solution

1. Step 1: Write the proportion equation
   6,537 : 12,741 = 12,741 : x
2. Step 2: Convert to fraction form
   6,537/12,741 = 12,741/x
3. Step 3: Cross multiply
   6,537x = 12,741 × 12,741
4. Step 4: Simplify right side
   6,537x = 162,333,081
5. Step 5: Solve for x
   x = 162,333,081/6,537
6. Step 6: Final answer
   x = 24,832.96