Finding the Third Proportional to 2,103.75 and 3,114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,103.75 : 3,114.56 = 3,114.56 : x
2. Step 2: Convert to fraction form
   2,103.75/3,114.56 = 3,114.56/x
3. Step 3: Cross multiply
   2,103.75x = 3,114.56 × 3,114.56
4. Step 4: Simplify right side
   2,103.75x = 9,700,499.57
5. Step 5: Solve for x
   x = 9,700,499.57/2,103.75
6. Step 6: Final answer
   x = 4,611.05