Finding the Third Proportional to 2,588.38 and 4,112.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.38 : 4,112.88 = 4,112.88 : x
2. Step 2: Convert to fraction form
   2,588.38/4,112.88 = 4,112.88/x
3. Step 3: Cross multiply
   2,588.38x = 4,112.88 × 4,112.88
4. Step 4: Simplify right side
   2,588.38x = 16,915,740.77
5. Step 5: Solve for x
   x = 16,915,740.77/2,588.38
6. Step 6: Final answer
   x = 6,535.27