Finding the Third Proportional to 9,760 and 20,684

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760 : 20,684 = 20,684 : x
2. Step 2: Convert to fraction form
   9,760/20,684 = 20,684/x
3. Step 3: Cross multiply
   9,760x = 20,684 × 20,684
4. Step 4: Simplify right side
   9,760x = 427,827,856
5. Step 5: Solve for x
   x = 427,827,856/9,760
6. Step 6: Final answer
   x = 43,834.82