Finding the Third Proportional to 9,096 and 13,842

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 13,842 = 13,842 : x
2. Step 2: Convert to fraction form
   9,096/13,842 = 13,842/x
3. Step 3: Cross multiply
   9,096x = 13,842 × 13,842
4. Step 4: Simplify right side
   9,096x = 191,600,964
5. Step 5: Solve for x
   x = 191,600,964/9,096
6. Step 6: Final answer
   x = 21,064.31