Finding the Third Proportional to 2,350.50 and 3,633.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,350.50 : 3,633.75 = 3,633.75 : x
2. Step 2: Convert to fraction form
   2,350.50/3,633.75 = 3,633.75/x
3. Step 3: Cross multiply
   2,350.50x = 3,633.75 × 3,633.75
4. Step 4: Simplify right side
   2,350.50x = 13,204,139.06
5. Step 5: Solve for x
   x = 13,204,139.06/2,350.50
6. Step 6: Final answer
   x = 5,617.59