Finding the Third Proportional to 3,089.71 and 4,780.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,089.71 : 4,780.27 = 4,780.27 : x
2. Step 2: Convert to fraction form
   3,089.71/4,780.27 = 4,780.27/x
3. Step 3: Cross multiply
   3,089.71x = 4,780.27 × 4,780.27
4. Step 4: Simplify right side
   3,089.71x = 22,850,939.45
5. Step 5: Solve for x
   x = 22,850,939.45/3,089.71
6. Step 6: Final answer
   x = 7,395.83