Finding the Third Proportional to 2,261.67 and 3,635.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,261.67 : 3,635.51 = 3,635.51 : x
2. Step 2: Convert to fraction form
   2,261.67/3,635.51 = 3,635.51/x
3. Step 3: Cross multiply
   2,261.67x = 3,635.51 × 3,635.51
4. Step 4: Simplify right side
   2,261.67x = 13,216,917.05
5. Step 5: Solve for x
   x = 13,216,917.05/2,261.67
6. Step 6: Final answer
   x = 5,843.87