Finding the Third Proportional to 2,688.50 and 4,062.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,688.50 : 4,062.75 = 4,062.75 : x
2. Step 2: Convert to fraction form
   2,688.50/4,062.75 = 4,062.75/x
3. Step 3: Cross multiply
   2,688.50x = 4,062.75 × 4,062.75
4. Step 4: Simplify right side
   2,688.50x = 16,505,937.56
5. Step 5: Solve for x
   x = 16,505,937.56/2,688.50
6. Step 6: Final answer
   x = 6,139.46