Finding the Third Proportional to 7,824 and 13,760

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824 : 13,760 = 13,760 : x
2. Step 2: Convert to fraction form
   7,824/13,760 = 13,760/x
3. Step 3: Cross multiply
   7,824x = 13,760 × 13,760
4. Step 4: Simplify right side
   7,824x = 189,337,600
5. Step 5: Solve for x
   x = 189,337,600/7,824
6. Step 6: Final answer
   x = 24,199.59