Finding the Third Proportional to 2,916 and 7,666

Step by Step Solution

1. Step 1: Write the proportion equation
   2,916 : 7,666 = 7,666 : x
2. Step 2: Convert to fraction form
   2,916/7,666 = 7,666/x
3. Step 3: Cross multiply
   2,916x = 7,666 × 7,666
4. Step 4: Simplify right side
   2,916x = 58,767,556
5. Step 5: Solve for x
   x = 58,767,556/2,916
6. Step 6: Final answer
   x = 20,153.48