Finding the Third Proportional to 51,826 and 80,030

Step by Step Solution

1. Step 1: Write the proportion equation
   51,826 : 80,030 = 80,030 : x
2. Step 2: Convert to fraction form
   51,826/80,030 = 80,030/x
3. Step 3: Cross multiply
   51,826x = 80,030 × 80,030
4. Step 4: Simplify right side
   51,826x = 6,404,800,900
5. Step 5: Solve for x
   x = 6,404,800,900/51,826
6. Step 6: Final answer
   x = 123,582.78