Finding the Third Proportional to 1,629.38 and 3,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,629.38 : 3,564.75 = 3,564.75 : x
2. Step 2: Convert to fraction form
   1,629.38/3,564.75 = 3,564.75/x
3. Step 3: Cross multiply
   1,629.38x = 3,564.75 × 3,564.75
4. Step 4: Simplify right side
   1,629.38x = 12,707,442.56
5. Step 5: Solve for x
   x = 12,707,442.56/1,629.38
6. Step 6: Final answer
   x = 7,798.97