Finding the Third Proportional to 2,064 and 3,171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,064 : 3,171.75 = 3,171.75 : x
2. Step 2: Convert to fraction form
   2,064/3,171.75 = 3,171.75/x
3. Step 3: Cross multiply
   2,064x = 3,171.75 × 3,171.75
4. Step 4: Simplify right side
   2,064x = 10,059,998.06
5. Step 5: Solve for x
   x = 10,059,998.06/2,064
6. Step 6: Final answer
   x = 4,874.03