Finding the Third Proportional to 1,629.56 and 3,557.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,629.56 : 3,557.81 = 3,557.81 : x
2. Step 2: Convert to fraction form
   1,629.56/3,557.81 = 3,557.81/x
3. Step 3: Cross multiply
   1,629.56x = 3,557.81 × 3,557.81
4. Step 4: Simplify right side
   1,629.56x = 12,658,029.79
5. Step 5: Solve for x
   x = 12,658,029.79/1,629.56
6. Step 6: Final answer
   x = 7,767.75