Finding the Third Proportional to 34,560 and 72,096

Step by Step Solution

1. Step 1: Write the proportion equation
   34,560 : 72,096 = 72,096 : x
2. Step 2: Convert to fraction form
   34,560/72,096 = 72,096/x
3. Step 3: Cross multiply
   34,560x = 72,096 × 72,096
4. Step 4: Simplify right side
   34,560x = 5,197,833,216
5. Step 5: Solve for x
   x = 5,197,833,216/34,560
6. Step 6: Final answer
   x = 150,400.27