Finding the Third Proportional to 37,647 and 55,057

Step by Step Solution

1. Step 1: Write the proportion equation
   37,647 : 55,057 = 55,057 : x
2. Step 2: Convert to fraction form
   37,647/55,057 = 55,057/x
3. Step 3: Cross multiply
   37,647x = 55,057 × 55,057
4. Step 4: Simplify right side
   37,647x = 3,031,273,249
5. Step 5: Solve for x
   x = 3,031,273,249/37,647
6. Step 6: Final answer
   x = 80,518.32