Finding the Third Proportional to 2,083.22 and 4,878.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,083.22 : 4,878.56 = 4,878.56 : x
2. Step 2: Convert to fraction form
   2,083.22/4,878.56 = 4,878.56/x
3. Step 3: Cross multiply
   2,083.22x = 4,878.56 × 4,878.56
4. Step 4: Simplify right side
   2,083.22x = 23,800,372.07
5. Step 5: Solve for x
   x = 23,800,372.07/2,083.22
6. Step 6: Final answer
   x = 11,424.81