Finding the Third Proportional to 2,535 and 3,906.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535 : 3,906.75 = 3,906.75 : x
2. Step 2: Convert to fraction form
   2,535/3,906.75 = 3,906.75/x
3. Step 3: Cross multiply
   2,535x = 3,906.75 × 3,906.75
4. Step 4: Simplify right side
   2,535x = 15,262,695.56
5. Step 5: Solve for x
   x = 15,262,695.56/2,535
6. Step 6: Final answer
   x = 6,020.79