Finding the Third Proportional to 37,648 and 55,056

Step by Step Solution

1. Step 1: Write the proportion equation
   37,648 : 55,056 = 55,056 : x
2. Step 2: Convert to fraction form
   37,648/55,056 = 55,056/x
3. Step 3: Cross multiply
   37,648x = 55,056 × 55,056
4. Step 4: Simplify right side
   37,648x = 3,031,163,136
5. Step 5: Solve for x
   x = 3,031,163,136/37,648
6. Step 6: Final answer
   x = 80,513.26