Finding the Third Proportional to 5,156 and 10,168

Step by Step Solution

1. Step 1: Write the proportion equation
   5,156 : 10,168 = 10,168 : x
2. Step 2: Convert to fraction form
   5,156/10,168 = 10,168/x
3. Step 3: Cross multiply
   5,156x = 10,168 × 10,168
4. Step 4: Simplify right side
   5,156x = 103,388,224
5. Step 5: Solve for x
   x = 103,388,224/5,156
6. Step 6: Final answer
   x = 20,052.02