Finding the Third Proportional to 7,834.50 and 12,000

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834.50 : 12,000 = 12,000 : x
2. Step 2: Convert to fraction form
   7,834.50/12,000 = 12,000/x
3. Step 3: Cross multiply
   7,834.50x = 12,000 × 12,000
4. Step 4: Simplify right side
   7,834.50x = 144,000,000
5. Step 5: Solve for x
   x = 144,000,000/7,834.50
6. Step 6: Final answer
   x = 18,380.24