Finding the Third Proportional to 2,628.63 and 5,749.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628.63 : 5,749.25 = 5,749.25 : x
2. Step 2: Convert to fraction form
   2,628.63/5,749.25 = 5,749.25/x
3. Step 3: Cross multiply
   2,628.63x = 5,749.25 × 5,749.25
4. Step 4: Simplify right side
   2,628.63x = 33,053,875.56
5. Step 5: Solve for x
   x = 33,053,875.56/2,628.63
6. Step 6: Final answer
   x = 12,574.59