Finding the Third Proportional to 6,974 and 14,666

Step by Step Solution

1. Step 1: Write the proportion equation
   6,974 : 14,666 = 14,666 : x
2. Step 2: Convert to fraction form
   6,974/14,666 = 14,666/x
3. Step 3: Cross multiply
   6,974x = 14,666 × 14,666
4. Step 4: Simplify right side
   6,974x = 215,091,556
5. Step 5: Solve for x
   x = 215,091,556/6,974
6. Step 6: Final answer
   x = 30,841.92