Finding the Third Proportional to 2,205.75 and 3,247.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.75 : 3,247.50 = 3,247.50 : x
2. Step 2: Convert to fraction form
   2,205.75/3,247.50 = 3,247.50/x
3. Step 3: Cross multiply
   2,205.75x = 3,247.50 × 3,247.50
4. Step 4: Simplify right side
   2,205.75x = 10,546,256.25
5. Step 5: Solve for x
   x = 10,546,256.25/2,205.75
6. Step 6: Final answer
   x = 4,781.26