Finding the Third Proportional to 2,081.25 and 4,512.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.25 : 4,512.38 = 4,512.38 : x
2. Step 2: Convert to fraction form
   2,081.25/4,512.38 = 4,512.38/x
3. Step 3: Cross multiply
   2,081.25x = 4,512.38 × 4,512.38
4. Step 4: Simplify right side
   2,081.25x = 20,361,528.14
5. Step 5: Solve for x
   x = 20,361,528.14/2,081.25
6. Step 6: Final answer
   x = 9,783.32