Finding the Third Proportional to 9,760 and 21,512

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760 : 21,512 = 21,512 : x
2. Step 2: Convert to fraction form
   9,760/21,512 = 21,512/x
3. Step 3: Cross multiply
   9,760x = 21,512 × 21,512
4. Step 4: Simplify right side
   9,760x = 462,766,144
5. Step 5: Solve for x
   x = 462,766,144/9,760
6. Step 6: Final answer
   x = 47,414.56