Finding the Third Proportional to 2,635.50 and 3,959.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635.50 : 3,959.63 = 3,959.63 : x
2. Step 2: Convert to fraction form
   2,635.50/3,959.63 = 3,959.63/x
3. Step 3: Cross multiply
   2,635.50x = 3,959.63 × 3,959.63
4. Step 4: Simplify right side
   2,635.50x = 15,678,630.14
5. Step 5: Solve for x
   x = 15,678,630.14/2,635.50
6. Step 6: Final answer
   x = 5,949.02