Finding the Third Proportional to 9,891 and 21,606

Step by Step Solution

1. Step 1: Write the proportion equation
   9,891 : 21,606 = 21,606 : x
2. Step 2: Convert to fraction form
   9,891/21,606 = 21,606/x
3. Step 3: Cross multiply
   9,891x = 21,606 × 21,606
4. Step 4: Simplify right side
   9,891x = 466,819,236
5. Step 5: Solve for x
   x = 466,819,236/9,891
6. Step 6: Final answer
   x = 47,196.36