Finding the Third Proportional to 9,623 and 20,684

Step by Step Solution

1. Step 1: Write the proportion equation
   9,623 : 20,684 = 20,684 : x
2. Step 2: Convert to fraction form
   9,623/20,684 = 20,684/x
3. Step 3: Cross multiply
   9,623x = 20,684 × 20,684
4. Step 4: Simplify right side
   9,623x = 427,827,856
5. Step 5: Solve for x
   x = 427,827,856/9,623
6. Step 6: Final answer
   x = 44,458.89