Finding the Third Proportional to 3,684.38 and 5,513.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.38 : 5,513.63 = 5,513.63 : x
2. Step 2: Convert to fraction form
   3,684.38/5,513.63 = 5,513.63/x
3. Step 3: Cross multiply
   3,684.38x = 5,513.63 × 5,513.63
4. Step 4: Simplify right side
   3,684.38x = 30,400,060.64
5. Step 5: Solve for x
   x = 30,400,060.64/3,684.38
6. Step 6: Final answer
   x = 8,251.08