Finding the Third Proportional to 9,664 and 22,384

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664 : 22,384 = 22,384 : x
2. Step 2: Convert to fraction form
   9,664/22,384 = 22,384/x
3. Step 3: Cross multiply
   9,664x = 22,384 × 22,384
4. Step 4: Simplify right side
   9,664x = 501,043,456
5. Step 5: Solve for x
   x = 501,043,456/9,664
6. Step 6: Final answer
   x = 51,846.38