Finding the Third Proportional to 2,319 and 3,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,319 : 3,598.50 = 3,598.50 : x
2. Step 2: Convert to fraction form
   2,319/3,598.50 = 3,598.50/x
3. Step 3: Cross multiply
   2,319x = 3,598.50 × 3,598.50
4. Step 4: Simplify right side
   2,319x = 12,949,202.25
5. Step 5: Solve for x
   x = 12,949,202.25/2,319
6. Step 6: Final answer
   x = 5,583.96