Finding the Third Proportional to 2,111.75 and 4,496.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.75 : 4,496.75 = 4,496.75 : x
2. Step 2: Convert to fraction form
   2,111.75/4,496.75 = 4,496.75/x
3. Step 3: Cross multiply
   2,111.75x = 4,496.75 × 4,496.75
4. Step 4: Simplify right side
   2,111.75x = 20,220,760.56
5. Step 5: Solve for x
   x = 20,220,760.56/2,111.75
6. Step 6: Final answer
   x = 9,575.36