Finding the Third Proportional to 5,019 and 8,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,019 : 8,308.50 = 8,308.50 : x
2. Step 2: Convert to fraction form
   5,019/8,308.50 = 8,308.50/x
3. Step 3: Cross multiply
   5,019x = 8,308.50 × 8,308.50
4. Step 4: Simplify right side
   5,019x = 69,031,172.25
5. Step 5: Solve for x
   x = 69,031,172.25/5,019
6. Step 6: Final answer
   x = 13,753.97