Finding the Third Proportional to 9,616 and 21,320

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616 : 21,320 = 21,320 : x
2. Step 2: Convert to fraction form
   9,616/21,320 = 21,320/x
3. Step 3: Cross multiply
   9,616x = 21,320 × 21,320
4. Step 4: Simplify right side
   9,616x = 454,542,400
5. Step 5: Solve for x
   x = 454,542,400/9,616
6. Step 6: Final answer
   x = 47,269.38