Finding the Third Proportional to 9,600 and 23,872

Step by Step Solution

1. Step 1: Write the proportion equation
   9,600 : 23,872 = 23,872 : x
2. Step 2: Convert to fraction form
   9,600/23,872 = 23,872/x
3. Step 3: Cross multiply
   9,600x = 23,872 × 23,872
4. Step 4: Simplify right side
   9,600x = 569,872,384
5. Step 5: Solve for x
   x = 569,872,384/9,600
6. Step 6: Final answer
   x = 59,361.71