Finding the Third Proportional to 2,034 and 4,889.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,034 : 4,889.25 = 4,889.25 : x
2. Step 2: Convert to fraction form
   2,034/4,889.25 = 4,889.25/x
3. Step 3: Cross multiply
   2,034x = 4,889.25 × 4,889.25
4. Step 4: Simplify right side
   2,034x = 23,904,765.56
5. Step 5: Solve for x
   x = 23,904,765.56/2,034
6. Step 6: Final answer
   x = 11,752.59