Finding the Third Proportional to 2,575.69 and 3,591.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.69 : 3,591.56 = 3,591.56 : x
2. Step 2: Convert to fraction form
   2,575.69/3,591.56 = 3,591.56/x
3. Step 3: Cross multiply
   2,575.69x = 3,591.56 × 3,591.56
4. Step 4: Simplify right side
   2,575.69x = 12,899,321.19
5. Step 5: Solve for x
   x = 12,899,321.19/2,575.69
6. Step 6: Final answer
   x = 5,008.11