Finding the Third Proportional to 9,338 and 21,657

Step by Step Solution

1. Step 1: Write the proportion equation
   9,338 : 21,657 = 21,657 : x
2. Step 2: Convert to fraction form
   9,338/21,657 = 21,657/x
3. Step 3: Cross multiply
   9,338x = 21,657 × 21,657
4. Step 4: Simplify right side
   9,338x = 469,025,649
5. Step 5: Solve for x
   x = 469,025,649/9,338
6. Step 6: Final answer
   x = 50,227.63