Finding the Third Proportional to 51,757.31 and 77,896.69

Step by Step Solution

1. Step 1: Write the proportion equation
   51,757.31 : 77,896.69 = 77,896.69 : x
2. Step 2: Convert to fraction form
   51,757.31/77,896.69 = 77,896.69/x
3. Step 3: Cross multiply
   51,757.31x = 77,896.69 × 77,896.69
4. Step 4: Simplify right side
   51,757.31x = 6,067,893,923.47
5. Step 5: Solve for x
   x = 6,067,893,923.47/51,757.31
6. Step 6: Final answer
   x = 117,237.42