Finding the Third Proportional to 3,096.50 and 4,856.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096.50 : 4,856.75 = 4,856.75 : x
2. Step 2: Convert to fraction form
   3,096.50/4,856.75 = 4,856.75/x
3. Step 3: Cross multiply
   3,096.50x = 4,856.75 × 4,856.75
4. Step 4: Simplify right side
   3,096.50x = 23,588,020.56
5. Step 5: Solve for x
   x = 23,588,020.56/3,096.50
6. Step 6: Final answer
   x = 7,617.64