Finding the Third Proportional to 1,661.25 and 3,597.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,661.25 : 3,597.75 = 3,597.75 : x
2. Step 2: Convert to fraction form
   1,661.25/3,597.75 = 3,597.75/x
3. Step 3: Cross multiply
   1,661.25x = 3,597.75 × 3,597.75
4. Step 4: Simplify right side
   1,661.25x = 12,943,805.06
5. Step 5: Solve for x
   x = 12,943,805.06/1,661.25
6. Step 6: Final answer
   x = 7,791.61