Finding the Third Proportional to 37,477 and 55,647

Step by Step Solution

1. Step 1: Write the proportion equation
   37,477 : 55,647 = 55,647 : x
2. Step 2: Convert to fraction form
   37,477/55,647 = 55,647/x
3. Step 3: Cross multiply
   37,477x = 55,647 × 55,647
4. Step 4: Simplify right side
   37,477x = 3,096,588,609
5. Step 5: Solve for x
   x = 3,096,588,609/37,477
6. Step 6: Final answer
   x = 82,626.37