Finding the Third Proportional to 51,326.16 and 76,780.41

Step by Step Solution

1. Step 1: Write the proportion equation
   51,326.16 : 76,780.41 = 76,780.41 : x
2. Step 2: Convert to fraction form
   51,326.16/76,780.41 = 76,780.41/x
3. Step 3: Cross multiply
   51,326.16x = 76,780.41 × 76,780.41
4. Step 4: Simplify right side
   51,326.16x = 5,895,230,783.92
5. Step 5: Solve for x
   x = 5,895,230,783.92/51,326.16
6. Step 6: Final answer
   x = 114,858.22