Finding the Third Proportional to 10,078 and 14,168

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078 : 14,168 = 14,168 : x
2. Step 2: Convert to fraction form
   10,078/14,168 = 14,168/x
3. Step 3: Cross multiply
   10,078x = 14,168 × 14,168
4. Step 4: Simplify right side
   10,078x = 200,732,224
5. Step 5: Solve for x
   x = 200,732,224/10,078
6. Step 6: Final answer
   x = 19,917.86