Finding the Third Proportional to 10,842 and 16,191

Step by Step Solution

1. Step 1: Write the proportion equation
   10,842 : 16,191 = 16,191 : x
2. Step 2: Convert to fraction form
   10,842/16,191 = 16,191/x
3. Step 3: Cross multiply
   10,842x = 16,191 × 16,191
4. Step 4: Simplify right side
   10,842x = 262,148,481
5. Step 5: Solve for x
   x = 262,148,481/10,842
6. Step 6: Final answer
   x = 24,178.98