Finding the Third Proportional to 9,766 and 21,383

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766 : 21,383 = 21,383 : x
2. Step 2: Convert to fraction form
   9,766/21,383 = 21,383/x
3. Step 3: Cross multiply
   9,766x = 21,383 × 21,383
4. Step 4: Simplify right side
   9,766x = 457,232,689
5. Step 5: Solve for x
   x = 457,232,689/9,766
6. Step 6: Final answer
   x = 46,818.83