Finding the Third Proportional to 2,635.50 and 4,155.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635.50 : 4,155.75 = 4,155.75 : x
2. Step 2: Convert to fraction form
   2,635.50/4,155.75 = 4,155.75/x
3. Step 3: Cross multiply
   2,635.50x = 4,155.75 × 4,155.75
4. Step 4: Simplify right side
   2,635.50x = 17,270,258.06
5. Step 5: Solve for x
   x = 17,270,258.06/2,635.50
6. Step 6: Final answer
   x = 6,552.93