Finding the Third Proportional to 2,103.47 and 4,619.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,103.47 : 4,619.85 = 4,619.85 : x
2. Step 2: Convert to fraction form
   2,103.47/4,619.85 = 4,619.85/x
3. Step 3: Cross multiply
   2,103.47x = 4,619.85 × 4,619.85
4. Step 4: Simplify right side
   2,103.47x = 21,342,992.37
5. Step 5: Solve for x
   x = 21,342,992.37/2,103.47
6. Step 6: Final answer
   x = 10,146.57