Finding the Third Proportional to 10,168 and 14,132

Step by Step Solution

1. Step 1: Write the proportion equation
   10,168 : 14,132 = 14,132 : x
2. Step 2: Convert to fraction form
   10,168/14,132 = 14,132/x
3. Step 3: Cross multiply
   10,168x = 14,132 × 14,132
4. Step 4: Simplify right side
   10,168x = 199,713,424
5. Step 5: Solve for x
   x = 199,713,424/10,168
6. Step 6: Final answer
   x = 19,641.37