Finding the Third Proportional to 1,661.25 and 3,494.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,661.25 : 3,494.63 = 3,494.63 : x
2. Step 2: Convert to fraction form
   1,661.25/3,494.63 = 3,494.63/x
3. Step 3: Cross multiply
   1,661.25x = 3,494.63 × 3,494.63
4. Step 4: Simplify right side
   1,661.25x = 12,212,403.89
5. Step 5: Solve for x
   x = 12,212,403.89/1,661.25
6. Step 6: Final answer
   x = 7,351.33