Finding the Third Proportional to 9,760 and 21,417

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760 : 21,417 = 21,417 : x
2. Step 2: Convert to fraction form
   9,760/21,417 = 21,417/x
3. Step 3: Cross multiply
   9,760x = 21,417 × 21,417
4. Step 4: Simplify right side
   9,760x = 458,687,889
5. Step 5: Solve for x
   x = 458,687,889/9,760
6. Step 6: Final answer
   x = 46,996.71