Finding the Third Proportional to 1,297.82 and 2,765.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.82 : 2,765.55 = 2,765.55 : x
2. Step 2: Convert to fraction form
   1,297.82/2,765.55 = 2,765.55/x
3. Step 3: Cross multiply
   1,297.82x = 2,765.55 × 2,765.55
4. Step 4: Simplify right side
   1,297.82x = 7,648,260.32
5. Step 5: Solve for x
   x = 7,648,260.32/1,297.82
6. Step 6: Final answer
   x = 5,893.16