Finding the Third Proportional to 2,349.75 and 3,659.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,349.75 : 3,659.25 = 3,659.25 : x
2. Step 2: Convert to fraction form
   2,349.75/3,659.25 = 3,659.25/x
3. Step 3: Cross multiply
   2,349.75x = 3,659.25 × 3,659.25
4. Step 4: Simplify right side
   2,349.75x = 13,390,110.56
5. Step 5: Solve for x
   x = 13,390,110.56/2,349.75
6. Step 6: Final answer
   x = 5,698.53