Finding the Third Proportional to 2,478.38 and 3,635.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.38 : 3,635.44 = 3,635.44 : x
2. Step 2: Convert to fraction form
   2,478.38/3,635.44 = 3,635.44/x
3. Step 3: Cross multiply
   2,478.38x = 3,635.44 × 3,635.44
4. Step 4: Simplify right side
   2,478.38x = 13,216,405.82
5. Step 5: Solve for x
   x = 13,216,405.82/2,478.38
6. Step 6: Final answer
   x = 5,332.69