Finding the Third Proportional to 2,801.25 and 4,809.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801.25 : 4,809.38 = 4,809.38 : x
2. Step 2: Convert to fraction form
   2,801.25/4,809.38 = 4,809.38/x
3. Step 3: Cross multiply
   2,801.25x = 4,809.38 × 4,809.38
4. Step 4: Simplify right side
   2,801.25x = 23,130,087.89
5. Step 5: Solve for x
   x = 23,130,087.89/2,801.25
6. Step 6: Final answer
   x = 8,257.06