Finding the Third Proportional to 6,809 and 10,182

Step by Step Solution

1. Step 1: Write the proportion equation
   6,809 : 10,182 = 10,182 : x
2. Step 2: Convert to fraction form
   6,809/10,182 = 10,182/x
3. Step 3: Cross multiply
   6,809x = 10,182 × 10,182
4. Step 4: Simplify right side
   6,809x = 103,673,124
5. Step 5: Solve for x
   x = 103,673,124/6,809
6. Step 6: Final answer
   x = 15,225.90