Finding the Third Proportional to 32,096 and 70,336

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 70,336 = 70,336 : x
2. Step 2: Convert to fraction form
   32,096/70,336 = 70,336/x
3. Step 3: Cross multiply
   32,096x = 70,336 × 70,336
4. Step 4: Simplify right side
   32,096x = 4,947,152,896
5. Step 5: Solve for x
   x = 4,947,152,896/32,096
6. Step 6: Final answer
   x = 154,136.12