Finding the Third Proportional to 9,600 and 21,248

Step by Step Solution

1. Step 1: Write the proportion equation
   9,600 : 21,248 = 21,248 : x
2. Step 2: Convert to fraction form
   9,600/21,248 = 21,248/x
3. Step 3: Cross multiply
   9,600x = 21,248 × 21,248
4. Step 4: Simplify right side
   9,600x = 451,477,504
5. Step 5: Solve for x
   x = 451,477,504/9,600
6. Step 6: Final answer
   x = 47,028.91