Finding the Third Proportional to 2,096 and 4,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096 : 4,947.50 = 4,947.50 : x
2. Step 2: Convert to fraction form
   2,096/4,947.50 = 4,947.50/x
3. Step 3: Cross multiply
   2,096x = 4,947.50 × 4,947.50
4. Step 4: Simplify right side
   2,096x = 24,477,756.25
5. Step 5: Solve for x
   x = 24,477,756.25/2,096
6. Step 6: Final answer
   x = 11,678.32