Finding the Third Proportional to 2,727 and 3,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,727 : 3,649.50 = 3,649.50 : x
2. Step 2: Convert to fraction form
   2,727/3,649.50 = 3,649.50/x
3. Step 3: Cross multiply
   2,727x = 3,649.50 × 3,649.50
4. Step 4: Simplify right side
   2,727x = 13,318,850.25
5. Step 5: Solve for x
   x = 13,318,850.25/2,727
6. Step 6: Final answer
   x = 4,884.07