Finding the Third Proportional to 1,629.28 and 3,552.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,629.28 : 3,552.61 = 3,552.61 : x
2. Step 2: Convert to fraction form
   1,629.28/3,552.61 = 3,552.61/x
3. Step 3: Cross multiply
   1,629.28x = 3,552.61 × 3,552.61
4. Step 4: Simplify right side
   1,629.28x = 12,621,033.37
5. Step 5: Solve for x
   x = 12,621,033.37/1,629.28
6. Step 6: Final answer
   x = 7,746.38