Finding the Third Proportional to 38,304 and 60,096

Step by Step Solution

1. Step 1: Write the proportion equation
   38,304 : 60,096 = 60,096 : x
2. Step 2: Convert to fraction form
   38,304/60,096 = 60,096/x
3. Step 3: Cross multiply
   38,304x = 60,096 × 60,096
4. Step 4: Simplify right side
   38,304x = 3,611,529,216
5. Step 5: Solve for x
   x = 3,611,529,216/38,304
6. Step 6: Final answer
   x = 94,285.95