Finding the Third Proportional to 2,738.81 and 5,902.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.81 : 5,902.88 = 5,902.88 : x
2. Step 2: Convert to fraction form
   2,738.81/5,902.88 = 5,902.88/x
3. Step 3: Cross multiply
   2,738.81x = 5,902.88 × 5,902.88
4. Step 4: Simplify right side
   2,738.81x = 34,843,933.27
5. Step 5: Solve for x
   x = 34,843,933.27/2,738.81
6. Step 6: Final answer
   x = 12,722.28