Finding the Third Proportional to 51,166.69 and 71,578.69

Step by Step Solution

1. Step 1: Write the proportion equation
   51,166.69 : 71,578.69 = 71,578.69 : x
2. Step 2: Convert to fraction form
   51,166.69/71,578.69 = 71,578.69/x
3. Step 3: Cross multiply
   51,166.69x = 71,578.69 × 71,578.69
4. Step 4: Simplify right side
   51,166.69x = 5,123,508,504.22
5. Step 5: Solve for x
   x = 5,123,508,504.22/51,166.69
6. Step 6: Final answer
   x = 100,133.68