Finding the Third Proportional to 3,509 and 3,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,509 : 3,819.50 = 3,819.50 : x
2. Step 2: Convert to fraction form
   3,509/3,819.50 = 3,819.50/x
3. Step 3: Cross multiply
   3,509x = 3,819.50 × 3,819.50
4. Step 4: Simplify right side
   3,509x = 14,588,580.25
5. Step 5: Solve for x
   x = 14,588,580.25/3,509
6. Step 6: Final answer
   x = 4,157.48