Finding the Third Proportional to 10,186 and 14,118

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186 : 14,118 = 14,118 : x
2. Step 2: Convert to fraction form
   10,186/14,118 = 14,118/x
3. Step 3: Cross multiply
   10,186x = 14,118 × 14,118
4. Step 4: Simplify right side
   10,186x = 199,317,924
5. Step 5: Solve for x
   x = 199,317,924/10,186
6. Step 6: Final answer
   x = 19,567.83