Finding the Third Proportional to 7,824 and 10,760

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824 : 10,760 = 10,760 : x
2. Step 2: Convert to fraction form
   7,824/10,760 = 10,760/x
3. Step 3: Cross multiply
   7,824x = 10,760 × 10,760
4. Step 4: Simplify right side
   7,824x = 115,777,600
5. Step 5: Solve for x
   x = 115,777,600/7,824
6. Step 6: Final answer
   x = 14,797.75