Finding the Third Proportional to 9,766 and 21,526

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766 : 21,526 = 21,526 : x
2. Step 2: Convert to fraction form
   9,766/21,526 = 21,526/x
3. Step 3: Cross multiply
   9,766x = 21,526 × 21,526
4. Step 4: Simplify right side
   9,766x = 463,368,676
5. Step 5: Solve for x
   x = 463,368,676/9,766
6. Step 6: Final answer
   x = 47,447.13