Finding the Third Proportional to 2,354 and 3,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,354 : 3,643.50 = 3,643.50 : x
2. Step 2: Convert to fraction form
   2,354/3,643.50 = 3,643.50/x
3. Step 3: Cross multiply
   2,354x = 3,643.50 × 3,643.50
4. Step 4: Simplify right side
   2,354x = 13,275,092.25
5. Step 5: Solve for x
   x = 13,275,092.25/2,354
6. Step 6: Final answer
   x = 5,639.38