Finding the Third Proportional to 2,019.94 and 4,862.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.94 : 4,862.53 = 4,862.53 : x
2. Step 2: Convert to fraction form
   2,019.94/4,862.53 = 4,862.53/x
3. Step 3: Cross multiply
   2,019.94x = 4,862.53 × 4,862.53
4. Step 4: Simplify right side
   2,019.94x = 23,644,210.16
5. Step 5: Solve for x
   x = 23,644,210.16/2,019.94
6. Step 6: Final answer
   x = 11,705.42