Finding the Third Proportional to 37,728 and 51,056

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 51,056 = 51,056 : x
2. Step 2: Convert to fraction form
   37,728/51,056 = 51,056/x
3. Step 3: Cross multiply
   37,728x = 51,056 × 51,056
4. Step 4: Simplify right side
   37,728x = 2,606,715,136
5. Step 5: Solve for x
   x = 2,606,715,136/37,728
6. Step 6: Final answer
   x = 69,092.32