Finding the Third Proportional to 4,660 and 10,168

Step by Step Solution

1. Step 1: Write the proportion equation
   4,660 : 10,168 = 10,168 : x
2. Step 2: Convert to fraction form
   4,660/10,168 = 10,168/x
3. Step 3: Cross multiply
   4,660x = 10,168 × 10,168
4. Step 4: Simplify right side
   4,660x = 103,388,224
5. Step 5: Solve for x
   x = 103,388,224/4,660
6. Step 6: Final answer
   x = 22,186.31