Finding the Third Proportional to 3,096 and 3,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096 : 3,730.50 = 3,730.50 : x
2. Step 2: Convert to fraction form
   3,096/3,730.50 = 3,730.50/x
3. Step 3: Cross multiply
   3,096x = 3,730.50 × 3,730.50
4. Step 4: Simplify right side
   3,096x = 13,916,630.25
5. Step 5: Solve for x
   x = 13,916,630.25/3,096
6. Step 6: Final answer
   x = 4,495.04