Finding the Third Proportional to 51,429.38 and 77,144.06

Step by Step Solution

1. Step 1: Write the proportion equation
   51,429.38 : 77,144.06 = 77,144.06 : x
2. Step 2: Convert to fraction form
   51,429.38/77,144.06 = 77,144.06/x
3. Step 3: Cross multiply
   51,429.38x = 77,144.06 × 77,144.06
4. Step 4: Simplify right side
   51,429.38x = 5,951,206,379.00
5. Step 5: Solve for x
   x = 5,951,206,379.00/51,429.38
6. Step 6: Final answer
   x = 115,716.09