Finding the Third Proportional to 22,096 and 48,576

Step by Step Solution

1. Step 1: Write the proportion equation
   22,096 : 48,576 = 48,576 : x
2. Step 2: Convert to fraction form
   22,096/48,576 = 48,576/x
3. Step 3: Cross multiply
   22,096x = 48,576 × 48,576
4. Step 4: Simplify right side
   22,096x = 2,359,627,776
5. Step 5: Solve for x
   x = 2,359,627,776/22,096
6. Step 6: Final answer
   x = 106,789.82