Finding the Third Proportional to 6,806 and 10,086

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806 : 10,086 = 10,086 : x
2. Step 2: Convert to fraction form
   6,806/10,086 = 10,086/x
3. Step 3: Cross multiply
   6,806x = 10,086 × 10,086
4. Step 4: Simplify right side
   6,806x = 101,727,396
5. Step 5: Solve for x
   x = 101,727,396/6,806
6. Step 6: Final answer
   x = 14,946.72