Finding the Third Proportional to 2,340 and 3,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,340 : 3,519.50 = 3,519.50 : x
2. Step 2: Convert to fraction form
   2,340/3,519.50 = 3,519.50/x
3. Step 3: Cross multiply
   2,340x = 3,519.50 × 3,519.50
4. Step 4: Simplify right side
   2,340x = 12,386,880.25
5. Step 5: Solve for x
   x = 12,386,880.25/2,340
6. Step 6: Final answer
   x = 5,293.54