Finding the Third Proportional to 2,508 and 2,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508 : 2,845.50 = 2,845.50 : x
2. Step 2: Convert to fraction form
   2,508/2,845.50 = 2,845.50/x
3. Step 3: Cross multiply
   2,508x = 2,845.50 × 2,845.50
4. Step 4: Simplify right side
   2,508x = 8,096,870.25
5. Step 5: Solve for x
   x = 8,096,870.25/2,508
6. Step 6: Final answer
   x = 3,228.42