Finding the Third Proportional to 9,644 and 17,720

Step by Step Solution

1. Step 1: Write the proportion equation
   9,644 : 17,720 = 17,720 : x
2. Step 2: Convert to fraction form
   9,644/17,720 = 17,720/x
3. Step 3: Cross multiply
   9,644x = 17,720 × 17,720
4. Step 4: Simplify right side
   9,644x = 313,998,400
5. Step 5: Solve for x
   x = 313,998,400/9,644
6. Step 6: Final answer
   x = 32,558.94