Finding the Third Proportional to 22,824 and 49,056

Step by Step Solution

1. Step 1: Write the proportion equation
   22,824 : 49,056 = 49,056 : x
2. Step 2: Convert to fraction form
   22,824/49,056 = 49,056/x
3. Step 3: Cross multiply
   22,824x = 49,056 × 49,056
4. Step 4: Simplify right side
   22,824x = 2,406,491,136
5. Step 5: Solve for x
   x = 2,406,491,136/22,824
6. Step 6: Final answer
   x = 105,436.87