Finding the Third Proportional to 10,194 and 13,842

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194 : 13,842 = 13,842 : x
2. Step 2: Convert to fraction form
   10,194/13,842 = 13,842/x
3. Step 3: Cross multiply
   10,194x = 13,842 × 13,842
4. Step 4: Simplify right side
   10,194x = 191,600,964
5. Step 5: Solve for x
   x = 191,600,964/10,194
6. Step 6: Final answer
   x = 18,795.46