Finding the Third Proportional to 3,200.77 and 3,850.03

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.77 : 3,850.03 = 3,850.03 : x
2. Step 2: Convert to fraction form
   3,200.77/3,850.03 = 3,850.03/x
3. Step 3: Cross multiply
   3,200.77x = 3,850.03 × 3,850.03
4. Step 4: Simplify right side
   3,200.77x = 14,822,740.63
5. Step 5: Solve for x
   x = 14,822,740.63/3,200.77
6. Step 6: Final answer
   x = 4,631.00