Finding the Third Proportional to 604.88 and 1,290.63

Step by Step Solution

1. Step 1: Write the proportion equation
   604.88 : 1,290.63 = 1,290.63 : x
2. Step 2: Convert to fraction form
   604.88/1,290.63 = 1,290.63/x
3. Step 3: Cross multiply
   604.88x = 1,290.63 × 1,290.63
4. Step 4: Simplify right side
   604.88x = 1,665,712.89
5. Step 5: Solve for x
   x = 1,665,712.89/604.88
6. Step 6: Final answer
   x = 2,753.81