Finding the Third Proportional to 55,096 and 80,052

Step by Step Solution

1. Step 1: Write the proportion equation
   55,096 : 80,052 = 80,052 : x
2. Step 2: Convert to fraction form
   55,096/80,052 = 80,052/x
3. Step 3: Cross multiply
   55,096x = 80,052 × 80,052
4. Step 4: Simplify right side
   55,096x = 6,408,322,704
5. Step 5: Solve for x
   x = 6,408,322,704/55,096
6. Step 6: Final answer
   x = 116,311.94