Finding the Third Proportional to 7,678 and 12,066

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678 : 12,066 = 12,066 : x
2. Step 2: Convert to fraction form
   7,678/12,066 = 12,066/x
3. Step 3: Cross multiply
   7,678x = 12,066 × 12,066
4. Step 4: Simplify right side
   7,678x = 145,588,356
5. Step 5: Solve for x
   x = 145,588,356/7,678
6. Step 6: Final answer
   x = 18,961.76