Finding the Third Proportional to 2,109.75 and 4,884.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.75 : 4,884.09 = 4,884.09 : x
2. Step 2: Convert to fraction form
   2,109.75/4,884.09 = 4,884.09/x
3. Step 3: Cross multiply
   2,109.75x = 4,884.09 × 4,884.09
4. Step 4: Simplify right side
   2,109.75x = 23,854,371.76
5. Step 5: Solve for x
   x = 23,854,371.76/2,109.75
6. Step 6: Final answer
   x = 11,306.73