Finding the Third Proportional to 34,288 and 50,096

Step by Step Solution

1. Step 1: Write the proportion equation
   34,288 : 50,096 = 50,096 : x
2. Step 2: Convert to fraction form
   34,288/50,096 = 50,096/x
3. Step 3: Cross multiply
   34,288x = 50,096 × 50,096
4. Step 4: Simplify right side
   34,288x = 2,509,609,216
5. Step 5: Solve for x
   x = 2,509,609,216/34,288
6. Step 6: Final answer
   x = 73,192.06