Finding the Third Proportional to 2,775.75 and 3,608.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,775.75 : 3,608.63 = 3,608.63 : x
2. Step 2: Convert to fraction form
   2,775.75/3,608.63 = 3,608.63/x
3. Step 3: Cross multiply
   2,775.75x = 3,608.63 × 3,608.63
4. Step 4: Simplify right side
   2,775.75x = 13,022,174.39
5. Step 5: Solve for x
   x = 13,022,174.39/2,775.75
6. Step 6: Final answer
   x = 4,691.41