Finding the Third Proportional to 7,006 and 10,644

Step by Step Solution

1. Step 1: Write the proportion equation
   7,006 : 10,644 = 10,644 : x
2. Step 2: Convert to fraction form
   7,006/10,644 = 10,644/x
3. Step 3: Cross multiply
   7,006x = 10,644 × 10,644
4. Step 4: Simplify right side
   7,006x = 113,294,736
5. Step 5: Solve for x
   x = 113,294,736/7,006
6. Step 6: Final answer
   x = 16,171.10