Finding the Third Proportional to 5,565 and 10,644

Step by Step Solution

1. Step 1: Write the proportion equation
   5,565 : 10,644 = 10,644 : x
2. Step 2: Convert to fraction form
   5,565/10,644 = 10,644/x
3. Step 3: Cross multiply
   5,565x = 10,644 × 10,644
4. Step 4: Simplify right side
   5,565x = 113,294,736
5. Step 5: Solve for x
   x = 113,294,736/5,565
6. Step 6: Final answer
   x = 20,358.44