Finding the Third Proportional to 1,614.94 and 2,257.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,614.94 : 2,257.88 = 2,257.88 : x
2. Step 2: Convert to fraction form
   1,614.94/2,257.88 = 2,257.88/x
3. Step 3: Cross multiply
   1,614.94x = 2,257.88 × 2,257.88
4. Step 4: Simplify right side
   1,614.94x = 5,097,999.52
5. Step 5: Solve for x
   x = 5,097,999.52/1,614.94
6. Step 6: Final answer
   x = 3,156.78