Finding the Third Proportional to 7,842 and 10,992

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842 : 10,992 = 10,992 : x
2. Step 2: Convert to fraction form
   7,842/10,992 = 10,992/x
3. Step 3: Cross multiply
   7,842x = 10,992 × 10,992
4. Step 4: Simplify right side
   7,842x = 120,824,064
5. Step 5: Solve for x
   x = 120,824,064/7,842
6. Step 6: Final answer
   x = 15,407.30