Finding the Third Proportional to 2,138.06 and 4,825.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.06 : 4,825.41 = 4,825.41 : x
2. Step 2: Convert to fraction form
   2,138.06/4,825.41 = 4,825.41/x
3. Step 3: Cross multiply
   2,138.06x = 4,825.41 × 4,825.41
4. Step 4: Simplify right side
   2,138.06x = 23,284,545.48
5. Step 5: Solve for x
   x = 23,284,545.48/2,138.06
6. Step 6: Final answer
   x = 10,890.49