Finding the Third Proportional to 2,350.69 and 3,637.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,350.69 : 3,637.41 = 3,637.41 : x
2. Step 2: Convert to fraction form
   2,350.69/3,637.41 = 3,637.41/x
3. Step 3: Cross multiply
   2,350.69x = 3,637.41 × 3,637.41
4. Step 4: Simplify right side
   2,350.69x = 13,230,724.23
5. Step 5: Solve for x
   x = 13,230,724.23/2,350.69
6. Step 6: Final answer
   x = 5,628.45