Finding the Third Proportional to 34,096 and 70,560

Step by Step Solution

1. Step 1: Write the proportion equation
   34,096 : 70,560 = 70,560 : x
2. Step 2: Convert to fraction form
   34,096/70,560 = 70,560/x
3. Step 3: Cross multiply
   34,096x = 70,560 × 70,560
4. Step 4: Simplify right side
   34,096x = 4,978,713,600
5. Step 5: Solve for x
   x = 4,978,713,600/34,096
6. Step 6: Final answer
   x = 146,020.46