Finding the Third Proportional to 3,693.94 and 5,540.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,693.94 : 5,540.63 = 5,540.63 : x
2. Step 2: Convert to fraction form
   3,693.94/5,540.63 = 5,540.63/x
3. Step 3: Cross multiply
   3,693.94x = 5,540.63 × 5,540.63
4. Step 4: Simplify right side
   3,693.94x = 30,698,525.39
5. Step 5: Solve for x
   x = 30,698,525.39/3,693.94
6. Step 6: Final answer
   x = 8,310.52