Finding the Third Proportional to 9,865 and 21,806

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865 : 21,806 = 21,806 : x
2. Step 2: Convert to fraction form
   9,865/21,806 = 21,806/x
3. Step 3: Cross multiply
   9,865x = 21,806 × 21,806
4. Step 4: Simplify right side
   9,865x = 475,501,636
5. Step 5: Solve for x
   x = 475,501,636/9,865
6. Step 6: Final answer
   x = 48,200.88