Finding the Third Proportional to 2,678.25 and 5,758.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.25 : 5,758.88 = 5,758.88 : x
2. Step 2: Convert to fraction form
   2,678.25/5,758.88 = 5,758.88/x
3. Step 3: Cross multiply
   2,678.25x = 5,758.88 × 5,758.88
4. Step 4: Simplify right side
   2,678.25x = 33,164,641.27
5. Step 5: Solve for x
   x = 33,164,641.27/2,678.25
6. Step 6: Final answer
   x = 12,382.95