Finding the Third Proportional to 5,219 and 8,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,219 : 8,084.50 = 8,084.50 : x
2. Step 2: Convert to fraction form
   5,219/8,084.50 = 8,084.50/x
3. Step 3: Cross multiply
   5,219x = 8,084.50 × 8,084.50
4. Step 4: Simplify right side
   5,219x = 65,359,140.25
5. Step 5: Solve for x
   x = 65,359,140.25/5,219
6. Step 6: Final answer
   x = 12,523.31