Finding the Third Proportional to 9,586 and 21,404

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586 : 21,404 = 21,404 : x
2. Step 2: Convert to fraction form
   9,586/21,404 = 21,404/x
3. Step 3: Cross multiply
   9,586x = 21,404 × 21,404
4. Step 4: Simplify right side
   9,586x = 458,131,216
5. Step 5: Solve for x
   x = 458,131,216/9,586
6. Step 6: Final answer
   x = 47,791.70