Finding the Third Proportional to 47,096 and 70,644

Step by Step Solution

1. Step 1: Write the proportion equation
   47,096 : 70,644 = 70,644 : x
2. Step 2: Convert to fraction form
   47,096/70,644 = 70,644/x
3. Step 3: Cross multiply
   47,096x = 70,644 × 70,644
4. Step 4: Simplify right side
   47,096x = 4,990,574,736
5. Step 5: Solve for x
   x = 4,990,574,736/47,096
6. Step 6: Final answer
   x = 105,966