Finding the Third Proportional to 9,664 and 17,760

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664 : 17,760 = 17,760 : x
2. Step 2: Convert to fraction form
   9,664/17,760 = 17,760/x
3. Step 3: Cross multiply
   9,664x = 17,760 × 17,760
4. Step 4: Simplify right side
   9,664x = 315,417,600
5. Step 5: Solve for x
   x = 315,417,600/9,664
6. Step 6: Final answer
   x = 32,638.41