Finding the Third Proportional to 32,096 and 67,106

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 67,106 = 67,106 : x
2. Step 2: Convert to fraction form
   32,096/67,106 = 67,106/x
3. Step 3: Cross multiply
   32,096x = 67,106 × 67,106
4. Step 4: Simplify right side
   32,096x = 4,503,215,236
5. Step 5: Solve for x
   x = 4,503,215,236/32,096
6. Step 6: Final answer
   x = 140,304.56