Finding the Third Proportional to 11,510 and 23,668

Step by Step Solution

1. Step 1: Write the proportion equation
   11,510 : 23,668 = 23,668 : x
2. Step 2: Convert to fraction form
   11,510/23,668 = 23,668/x
3. Step 3: Cross multiply
   11,510x = 23,668 × 23,668
4. Step 4: Simplify right side
   11,510x = 560,174,224
5. Step 5: Solve for x
   x = 560,174,224/11,510
6. Step 6: Final answer
   x = 48,668.48