Finding the Third Proportional to 51,825 and 80,028

Step by Step Solution

1. Step 1: Write the proportion equation
   51,825 : 80,028 = 80,028 : x
2. Step 2: Convert to fraction form
   51,825/80,028 = 80,028/x
3. Step 3: Cross multiply
   51,825x = 80,028 × 80,028
4. Step 4: Simplify right side
   51,825x = 6,404,480,784
5. Step 5: Solve for x
   x = 6,404,480,784/51,825
6. Step 6: Final answer
   x = 123,578.98