Finding the Third Proportional to 3,205.69 and 3,637.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,205.69 : 3,637.69 = 3,637.69 : x
2. Step 2: Convert to fraction form
   3,205.69/3,637.69 = 3,637.69/x
3. Step 3: Cross multiply
   3,205.69x = 3,637.69 × 3,637.69
4. Step 4: Simplify right side
   3,205.69x = 13,232,770.35
5. Step 5: Solve for x
   x = 13,232,770.35/3,205.69
6. Step 6: Final answer
   x = 4,127.90