Finding the Third Proportional to 1,255.99 and 1,846.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.99 : 1,846.41 = 1,846.41 : x
2. Step 2: Convert to fraction form
   1,255.99/1,846.41 = 1,846.41/x
3. Step 3: Cross multiply
   1,255.99x = 1,846.41 × 1,846.41
4. Step 4: Simplify right side
   1,255.99x = 3,409,216.04
5. Step 5: Solve for x
   x = 3,409,216.04/1,255.99
6. Step 6: Final answer
   x = 2,714.36