Finding the Third Proportional to 2,369.25 and 3,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,369.25 : 3,462.75 = 3,462.75 : x
2. Step 2: Convert to fraction form
   2,369.25/3,462.75 = 3,462.75/x
3. Step 3: Cross multiply
   2,369.25x = 3,462.75 × 3,462.75
4. Step 4: Simplify right side
   2,369.25x = 11,990,637.56
5. Step 5: Solve for x
   x = 11,990,637.56/2,369.25
6. Step 6: Final answer
   x = 5,060.94