Finding the Third Proportional to 2,477 and 5,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477 : 5,453.50 = 5,453.50 : x
2. Step 2: Convert to fraction form
   2,477/5,453.50 = 5,453.50/x
3. Step 3: Cross multiply
   2,477x = 5,453.50 × 5,453.50
4. Step 4: Simplify right side
   2,477x = 29,740,662.25
5. Step 5: Solve for x
   x = 29,740,662.25/2,477
6. Step 6: Final answer
   x = 12,006.73