Finding the Third Proportional to 16,164 and 34,668

Step by Step Solution

1. Step 1: Write the proportion equation
   16,164 : 34,668 = 34,668 : x
2. Step 2: Convert to fraction form
   16,164/34,668 = 34,668/x
3. Step 3: Cross multiply
   16,164x = 34,668 × 34,668
4. Step 4: Simplify right side
   16,164x = 1,201,870,224
5. Step 5: Solve for x
   x = 1,201,870,224/16,164
6. Step 6: Final answer
   x = 74,354.75