Finding the Third Proportional to 3,191.50 and 3,655

Step by Step Solution

1. Step 1: Write the proportion equation
   3,191.50 : 3,655 = 3,655 : x
2. Step 2: Convert to fraction form
   3,191.50/3,655 = 3,655/x
3. Step 3: Cross multiply
   3,191.50x = 3,655 × 3,655
4. Step 4: Simplify right side
   3,191.50x = 13,359,025
5. Step 5: Solve for x
   x = 13,359,025/3,191.50
6. Step 6: Final answer
   x = 4,185.81