Finding the Third Proportional to 1,629.49 and 2,290.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,629.49 : 2,290.46 = 2,290.46 : x
2. Step 2: Convert to fraction form
   1,629.49/2,290.46 = 2,290.46/x
3. Step 3: Cross multiply
   1,629.49x = 2,290.46 × 2,290.46
4. Step 4: Simplify right side
   1,629.49x = 5,246,229.20
5. Step 5: Solve for x
   x = 5,246,229.20/1,629.49
6. Step 6: Final answer
   x = 3,219.55