Finding the Third Proportional to 2,533.78 and 3,850.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.78 : 3,850.03 = 3,850.03 : x
2. Step 2: Convert to fraction form
   2,533.78/3,850.03 = 3,850.03/x
3. Step 3: Cross multiply
   2,533.78x = 3,850.03 × 3,850.03
4. Step 4: Simplify right side
   2,533.78x = 14,822,740.63
5. Step 5: Solve for x
   x = 14,822,740.63/2,533.78
6. Step 6: Final answer
   x = 5,850.05