Finding the Third Proportional to 9,863 and 21,634

Step by Step Solution

1. Step 1: Write the proportion equation
   9,863 : 21,634 = 21,634 : x
2. Step 2: Convert to fraction form
   9,863/21,634 = 21,634/x
3. Step 3: Cross multiply
   9,863x = 21,634 × 21,634
4. Step 4: Simplify right side
   9,863x = 468,029,956
5. Step 5: Solve for x
   x = 468,029,956/9,863
6. Step 6: Final answer
   x = 47,453.10