Finding the Third Proportional to 9,769 and 21,530

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769 : 21,530 = 21,530 : x
2. Step 2: Convert to fraction form
   9,769/21,530 = 21,530/x
3. Step 3: Cross multiply
   9,769x = 21,530 × 21,530
4. Step 4: Simplify right side
   9,769x = 463,540,900
5. Step 5: Solve for x
   x = 463,540,900/9,769
6. Step 6: Final answer
   x = 47,450.19