Finding the Third Proportional to 51,756 and 80,162

Step by Step Solution

1. Step 1: Write the proportion equation
   51,756 : 80,162 = 80,162 : x
2. Step 2: Convert to fraction form
   51,756/80,162 = 80,162/x
3. Step 3: Cross multiply
   51,756x = 80,162 × 80,162
4. Step 4: Simplify right side
   51,756x = 6,425,946,244
5. Step 5: Solve for x
   x = 6,425,946,244/51,756
6. Step 6: Final answer
   x = 124,158.48