Finding the Third Proportional to 2,121.56 and 4,661.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,121.56 : 4,661.38 = 4,661.38 : x
2. Step 2: Convert to fraction form
   2,121.56/4,661.38 = 4,661.38/x
3. Step 3: Cross multiply
   2,121.56x = 4,661.38 × 4,661.38
4. Step 4: Simplify right side
   2,121.56x = 21,728,416.89
5. Step 5: Solve for x
   x = 21,728,416.89/2,121.56
6. Step 6: Final answer
   x = 10,241.70