Finding the Third Proportional to 10,407 and 16,644

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407 : 16,644 = 16,644 : x
2. Step 2: Convert to fraction form
   10,407/16,644 = 16,644/x
3. Step 3: Cross multiply
   10,407x = 16,644 × 16,644
4. Step 4: Simplify right side
   10,407x = 277,022,736
5. Step 5: Solve for x
   x = 277,022,736/10,407
6. Step 6: Final answer
   x = 26,618.88