Finding the Third Proportional to 34,096 and 76,128

Step by Step Solution

1. Step 1: Write the proportion equation
   34,096 : 76,128 = 76,128 : x
2. Step 2: Convert to fraction form
   34,096/76,128 = 76,128/x
3. Step 3: Cross multiply
   34,096x = 76,128 × 76,128
4. Step 4: Simplify right side
   34,096x = 5,795,472,384
5. Step 5: Solve for x
   x = 5,795,472,384/34,096
6. Step 6: Final answer
   x = 169,975.14