Finding the Third Proportional to 2,724.89 and 3,677.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,724.89 : 3,677.27 = 3,677.27 : x
2. Step 2: Convert to fraction form
   2,724.89/3,677.27 = 3,677.27/x
3. Step 3: Cross multiply
   2,724.89x = 3,677.27 × 3,677.27
4. Step 4: Simplify right side
   2,724.89x = 13,522,339.93
5. Step 5: Solve for x
   x = 13,522,339.93/2,724.89
6. Step 6: Final answer
   x = 4,962.53