Finding the Third Proportional to 33,096 and 67,704

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 67,704 = 67,704 : x
2. Step 2: Convert to fraction form
   33,096/67,704 = 67,704/x
3. Step 3: Cross multiply
   33,096x = 67,704 × 67,704
4. Step 4: Simplify right side
   33,096x = 4,583,831,616
5. Step 5: Solve for x
   x = 4,583,831,616/33,096
6. Step 6: Final answer
   x = 138,501.08