Finding the Third Proportional to 2,551.50 and 3,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.50 : 3,827.25 = 3,827.25 : x
2. Step 2: Convert to fraction form
   2,551.50/3,827.25 = 3,827.25/x
3. Step 3: Cross multiply
   2,551.50x = 3,827.25 × 3,827.25
4. Step 4: Simplify right side
   2,551.50x = 14,647,842.56
5. Step 5: Solve for x
   x = 14,647,842.56/2,551.50
6. Step 6: Final answer
   x = 5,740.88