Finding the Third Proportional to 6,766 and 8,002

Step by Step Solution

1. Step 1: Write the proportion equation
   6,766 : 8,002 = 8,002 : x
2. Step 2: Convert to fraction form
   6,766/8,002 = 8,002/x
3. Step 3: Cross multiply
   6,766x = 8,002 × 8,002
4. Step 4: Simplify right side
   6,766x = 64,032,004
5. Step 5: Solve for x
   x = 64,032,004/6,766
6. Step 6: Final answer
   x = 9,463.79