Finding the Third Proportional to 2,628.56 and 5,410.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628.56 : 5,410.69 = 5,410.69 : x
2. Step 2: Convert to fraction form
   2,628.56/5,410.69 = 5,410.69/x
3. Step 3: Cross multiply
   2,628.56x = 5,410.69 × 5,410.69
4. Step 4: Simplify right side
   2,628.56x = 29,275,539.22
5. Step 5: Solve for x
   x = 29,275,539.22/2,628.56
6. Step 6: Final answer
   x = 11,137.47