Finding the Third Proportional to 9,044 and 16,684

Step by Step Solution

1. Step 1: Write the proportion equation
   9,044 : 16,684 = 16,684 : x
2. Step 2: Convert to fraction form
   9,044/16,684 = 16,684/x
3. Step 3: Cross multiply
   9,044x = 16,684 × 16,684
4. Step 4: Simplify right side
   9,044x = 278,355,856
5. Step 5: Solve for x
   x = 278,355,856/9,044
6. Step 6: Final answer
   x = 30,777.96