Finding the Third Proportional to 7,648 and 10,006

Step by Step Solution

1. Step 1: Write the proportion equation
   7,648 : 10,006 = 10,006 : x
2. Step 2: Convert to fraction form
   7,648/10,006 = 10,006/x
3. Step 3: Cross multiply
   7,648x = 10,006 × 10,006
4. Step 4: Simplify right side
   7,648x = 100,120,036
5. Step 5: Solve for x
   x = 100,120,036/7,648
6. Step 6: Final answer
   x = 13,091.01