Finding the Third Proportional to 10,576 and 23,168

Step by Step Solution

1. Step 1: Write the proportion equation
   10,576 : 23,168 = 23,168 : x
2. Step 2: Convert to fraction form
   10,576/23,168 = 23,168/x
3. Step 3: Cross multiply
   10,576x = 23,168 × 23,168
4. Step 4: Simplify right side
   10,576x = 536,756,224
5. Step 5: Solve for x
   x = 536,756,224/10,576
6. Step 6: Final answer
   x = 50,752.29