Finding the Third Proportional to 13,760 and 30,096

Step by Step Solution

1. Step 1: Write the proportion equation
   13,760 : 30,096 = 30,096 : x
2. Step 2: Convert to fraction form
   13,760/30,096 = 30,096/x
3. Step 3: Cross multiply
   13,760x = 30,096 × 30,096
4. Step 4: Simplify right side
   13,760x = 905,769,216
5. Step 5: Solve for x
   x = 905,769,216/13,760
6. Step 6: Final answer
   x = 65,826.25