Finding the Third Proportional to 7,800 and 12,064

Step by Step Solution

1. Step 1: Write the proportion equation
   7,800 : 12,064 = 12,064 : x
2. Step 2: Convert to fraction form
   7,800/12,064 = 12,064/x
3. Step 3: Cross multiply
   7,800x = 12,064 × 12,064
4. Step 4: Simplify right side
   7,800x = 145,540,096
5. Step 5: Solve for x
   x = 145,540,096/7,800
6. Step 6: Final answer
   x = 18,658.99