Finding the Third Proportional to 3,076.50 and 4,890.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,076.50 : 4,890.75 = 4,890.75 : x
2. Step 2: Convert to fraction form
   3,076.50/4,890.75 = 4,890.75/x
3. Step 3: Cross multiply
   3,076.50x = 4,890.75 × 4,890.75
4. Step 4: Simplify right side
   3,076.50x = 23,919,435.56
5. Step 5: Solve for x
   x = 23,919,435.56/3,076.50
6. Step 6: Final answer
   x = 7,774.89