Finding the Third Proportional to 6,206 and 12,741

Step by Step Solution

1. Step 1: Write the proportion equation
   6,206 : 12,741 = 12,741 : x
2. Step 2: Convert to fraction form
   6,206/12,741 = 12,741/x
3. Step 3: Cross multiply
   6,206x = 12,741 × 12,741
4. Step 4: Simplify right side
   6,206x = 162,333,081
5. Step 5: Solve for x
   x = 162,333,081/6,206
6. Step 6: Final answer
   x = 26,157.44