Finding the Third Proportional to 12,096 and 32,856

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 32,856 = 32,856 : x
2. Step 2: Convert to fraction form
   12,096/32,856 = 32,856/x
3. Step 3: Cross multiply
   12,096x = 32,856 × 32,856
4. Step 4: Simplify right side
   12,096x = 1,079,516,736
5. Step 5: Solve for x
   x = 1,079,516,736/12,096
6. Step 6: Final answer
   x = 89,245.76