Finding the Third Proportional to 9,684 and 21,211

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684 : 21,211 = 21,211 : x
2. Step 2: Convert to fraction form
   9,684/21,211 = 21,211/x
3. Step 3: Cross multiply
   9,684x = 21,211 × 21,211
4. Step 4: Simplify right side
   9,684x = 449,906,521
5. Step 5: Solve for x
   x = 449,906,521/9,684
6. Step 6: Final answer
   x = 46,458.75