Finding the Third Proportional to 2,085.75 and 3,475.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.75 : 3,475.41 = 3,475.41 : x
2. Step 2: Convert to fraction form
   2,085.75/3,475.41 = 3,475.41/x
3. Step 3: Cross multiply
   2,085.75x = 3,475.41 × 3,475.41
4. Step 4: Simplify right side
   2,085.75x = 12,078,448.60
5. Step 5: Solve for x
   x = 12,078,448.60/2,085.75
6. Step 6: Final answer
   x = 5,790.94