Finding the Third Proportional to 3,671.63 and 5,491.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,671.63 : 5,491.38 = 5,491.38 : x
2. Step 2: Convert to fraction form
   3,671.63/5,491.38 = 5,491.38/x
3. Step 3: Cross multiply
   3,671.63x = 5,491.38 × 5,491.38
4. Step 4: Simplify right side
   3,671.63x = 30,155,199.39
5. Step 5: Solve for x
   x = 30,155,199.39/3,671.63
6. Step 6: Final answer
   x = 8,213.04