Finding the Third Proportional to 7,610 and 9,002

Step by Step Solution

1. Step 1: Write the proportion equation
   7,610 : 9,002 = 9,002 : x
2. Step 2: Convert to fraction form
   7,610/9,002 = 9,002/x
3. Step 3: Cross multiply
   7,610x = 9,002 × 9,002
4. Step 4: Simplify right side
   7,610x = 81,036,004
5. Step 5: Solve for x
   x = 81,036,004/7,610
6. Step 6: Final answer
   x = 10,648.62