Finding the Third Proportional to 2,124.56 and 4,557.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,124.56 : 4,557.94 = 4,557.94 : x
2. Step 2: Convert to fraction form
   2,124.56/4,557.94 = 4,557.94/x
3. Step 3: Cross multiply
   2,124.56x = 4,557.94 × 4,557.94
4. Step 4: Simplify right side
   2,124.56x = 20,774,794.25
5. Step 5: Solve for x
   x = 20,774,794.25/2,124.56
6. Step 6: Final answer
   x = 9,778.39