Finding the Third Proportional to 9,838 and 21,676

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838 : 21,676 = 21,676 : x
2. Step 2: Convert to fraction form
   9,838/21,676 = 21,676/x
3. Step 3: Cross multiply
   9,838x = 21,676 × 21,676
4. Step 4: Simplify right side
   9,838x = 469,848,976
5. Step 5: Solve for x
   x = 469,848,976/9,838
6. Step 6: Final answer
   x = 47,758.59