Finding the Third Proportional to 2,141.25 and 4,650.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.25 : 4,650.38 = 4,650.38 : x
2. Step 2: Convert to fraction form
   2,141.25/4,650.38 = 4,650.38/x
3. Step 3: Cross multiply
   2,141.25x = 4,650.38 × 4,650.38
4. Step 4: Simplify right side
   2,141.25x = 21,625,987.64
5. Step 5: Solve for x
   x = 21,625,987.64/2,141.25
6. Step 6: Final answer
   x = 10,099.70