Finding the Third Proportional to 2,341 and 3,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,341 : 3,599.50 = 3,599.50 : x
2. Step 2: Convert to fraction form
   2,341/3,599.50 = 3,599.50/x
3. Step 3: Cross multiply
   2,341x = 3,599.50 × 3,599.50
4. Step 4: Simplify right side
   2,341x = 12,956,400.25
5. Step 5: Solve for x
   x = 12,956,400.25/2,341
6. Step 6: Final answer
   x = 5,534.56