Finding the Third Proportional to 7,842 and 10,269

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842 : 10,269 = 10,269 : x
2. Step 2: Convert to fraction form
   7,842/10,269 = 10,269/x
3. Step 3: Cross multiply
   7,842x = 10,269 × 10,269
4. Step 4: Simplify right side
   7,842x = 105,452,361
5. Step 5: Solve for x
   x = 105,452,361/7,842
6. Step 6: Final answer
   x = 13,447.13