Finding the Third Proportional to 2,825.50 and 4,076.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,825.50 : 4,076.25 = 4,076.25 : x
2. Step 2: Convert to fraction form
   2,825.50/4,076.25 = 4,076.25/x
3. Step 3: Cross multiply
   2,825.50x = 4,076.25 × 4,076.25
4. Step 4: Simplify right side
   2,825.50x = 16,615,814.06
5. Step 5: Solve for x
   x = 16,615,814.06/2,825.50
6. Step 6: Final answer
   x = 5,880.66