Finding the Third Proportional to 1,257.75 and 1,843.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.75 : 1,843.88 = 1,843.88 : x
2. Step 2: Convert to fraction form
   1,257.75/1,843.88 = 1,843.88/x
3. Step 3: Cross multiply
   1,257.75x = 1,843.88 × 1,843.88
4. Step 4: Simplify right side
   1,257.75x = 3,399,875.02
5. Step 5: Solve for x
   x = 3,399,875.02/1,257.75
6. Step 6: Final answer
   x = 2,703.14