Finding the Third Proportional to 10,112 and 13,858

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112 : 13,858 = 13,858 : x
2. Step 2: Convert to fraction form
   10,112/13,858 = 13,858/x
3. Step 3: Cross multiply
   10,112x = 13,858 × 13,858
4. Step 4: Simplify right side
   10,112x = 192,044,164
5. Step 5: Solve for x
   x = 192,044,164/10,112
6. Step 6: Final answer
   x = 18,991.71