Finding the Third Proportional to 51,033.38 and 77,010.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,033.38 : 77,010.75 = 77,010.75 : x
2. Step 2: Convert to fraction form
   51,033.38/77,010.75 = 77,010.75/x
3. Step 3: Cross multiply
   51,033.38x = 77,010.75 × 77,010.75
4. Step 4: Simplify right side
   51,033.38x = 5,930,655,615.56
5. Step 5: Solve for x
   x = 5,930,655,615.56/51,033.38
6. Step 6: Final answer
   x = 116,211.31