Finding the Third Proportional to 7,666 and 12,299

Step by Step Solution

1. Step 1: Write the proportion equation
   7,666 : 12,299 = 12,299 : x
2. Step 2: Convert to fraction form
   7,666/12,299 = 12,299/x
3. Step 3: Cross multiply
   7,666x = 12,299 × 12,299
4. Step 4: Simplify right side
   7,666x = 151,265,401
5. Step 5: Solve for x
   x = 151,265,401/7,666
6. Step 6: Final answer
   x = 19,731.99