Finding the Third Proportional to 2,105 and 3,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105 : 3,167.50 = 3,167.50 : x
2. Step 2: Convert to fraction form
   2,105/3,167.50 = 3,167.50/x
3. Step 3: Cross multiply
   2,105x = 3,167.50 × 3,167.50
4. Step 4: Simplify right side
   2,105x = 10,033,056.25
5. Step 5: Solve for x
   x = 10,033,056.25/2,105
6. Step 6: Final answer
   x = 4,766.30