Finding the Third Proportional to 7,804 and 10,002

Step by Step Solution

1. Step 1: Write the proportion equation
   7,804 : 10,002 = 10,002 : x
2. Step 2: Convert to fraction form
   7,804/10,002 = 10,002/x
3. Step 3: Cross multiply
   7,804x = 10,002 × 10,002
4. Step 4: Simplify right side
   7,804x = 100,040,004
5. Step 5: Solve for x
   x = 100,040,004/7,804
6. Step 6: Final answer
   x = 12,819.07