Finding the Third Proportional to 10,182 and 13,887

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182 : 13,887 = 13,887 : x
2. Step 2: Convert to fraction form
   10,182/13,887 = 13,887/x
3. Step 3: Cross multiply
   10,182x = 13,887 × 13,887
4. Step 4: Simplify right side
   10,182x = 192,848,769
5. Step 5: Solve for x
   x = 192,848,769/10,182
6. Step 6: Final answer
   x = 18,940.17