Finding the Third Proportional to 37,647 and 55,054

Step by Step Solution

1. Step 1: Write the proportion equation
   37,647 : 55,054 = 55,054 : x
2. Step 2: Convert to fraction form
   37,647/55,054 = 55,054/x
3. Step 3: Cross multiply
   37,647x = 55,054 × 55,054
4. Step 4: Simplify right side
   37,647x = 3,030,942,916
5. Step 5: Solve for x
   x = 3,030,942,916/37,647
6. Step 6: Final answer
   x = 80,509.55