Finding the Third Proportional to 9,764 and 21,410

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764 : 21,410 = 21,410 : x
2. Step 2: Convert to fraction form
   9,764/21,410 = 21,410/x
3. Step 3: Cross multiply
   9,764x = 21,410 × 21,410
4. Step 4: Simplify right side
   9,764x = 458,388,100
5. Step 5: Solve for x
   x = 458,388,100/9,764
6. Step 6: Final answer
   x = 46,946.75