Finding the Third Proportional to 2,533.50 and 3,854.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.50 : 3,854.25 = 3,854.25 : x
2. Step 2: Convert to fraction form
   2,533.50/3,854.25 = 3,854.25/x
3. Step 3: Cross multiply
   2,533.50x = 3,854.25 × 3,854.25
4. Step 4: Simplify right side
   2,533.50x = 14,855,243.06
5. Step 5: Solve for x
   x = 14,855,243.06/2,533.50
6. Step 6: Final answer
   x = 5,863.53