Finding the Third Proportional to 6,806 and 7,510

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806 : 7,510 = 7,510 : x
2. Step 2: Convert to fraction form
   6,806/7,510 = 7,510/x
3. Step 3: Cross multiply
   6,806x = 7,510 × 7,510
4. Step 4: Simplify right side
   6,806x = 56,400,100
5. Step 5: Solve for x
   x = 56,400,100/6,806
6. Step 6: Final answer
   x = 8,286.82