Finding the Third Proportional to 1,288.09 and 2,774.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.09 : 2,774.57 = 2,774.57 : x
2. Step 2: Convert to fraction form
   1,288.09/2,774.57 = 2,774.57/x
3. Step 3: Cross multiply
   1,288.09x = 2,774.57 × 2,774.57
4. Step 4: Simplify right side
   1,288.09x = 7,698,218.74
5. Step 5: Solve for x
   x = 7,698,218.74/1,288.09
6. Step 6: Final answer
   x = 5,976.46