Finding the Third Proportional to 10,770 and 23,668

Step by Step Solution

1. Step 1: Write the proportion equation
   10,770 : 23,668 = 23,668 : x
2. Step 2: Convert to fraction form
   10,770/23,668 = 23,668/x
3. Step 3: Cross multiply
   10,770x = 23,668 × 23,668
4. Step 4: Simplify right side
   10,770x = 560,174,224
5. Step 5: Solve for x
   x = 560,174,224/10,770
6. Step 6: Final answer
   x = 52,012.46