Finding the Third Proportional to 32,096 and 70,596

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 70,596 = 70,596 : x
2. Step 2: Convert to fraction form
   32,096/70,596 = 70,596/x
3. Step 3: Cross multiply
   32,096x = 70,596 × 70,596
4. Step 4: Simplify right side
   32,096x = 4,983,795,216
5. Step 5: Solve for x
   x = 4,983,795,216/32,096
6. Step 6: Final answer
   x = 155,277.77