Finding the Third Proportional to 23,684 and 33,666

Step by Step Solution

1. Step 1: Write the proportion equation
   23,684 : 33,666 = 33,666 : x
2. Step 2: Convert to fraction form
   23,684/33,666 = 33,666/x
3. Step 3: Cross multiply
   23,684x = 33,666 × 33,666
4. Step 4: Simplify right side
   23,684x = 1,133,399,556
5. Step 5: Solve for x
   x = 1,133,399,556/23,684
6. Step 6: Final answer
   x = 47,855.07