Finding the Third Proportional to 7,826 and 12,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826 : 12,119.50 = 12,119.50 : x
2. Step 2: Convert to fraction form
   7,826/12,119.50 = 12,119.50/x
3. Step 3: Cross multiply
   7,826x = 12,119.50 × 12,119.50
4. Step 4: Simplify right side
   7,826x = 146,882,280.25
5. Step 5: Solve for x
   x = 146,882,280.25/7,826
6. Step 6: Final answer
   x = 18,768.50