Finding the Third Proportional to 1,466.07 and 2,255.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.07 : 2,255.82 = 2,255.82 : x
2. Step 2: Convert to fraction form
   1,466.07/2,255.82 = 2,255.82/x
3. Step 3: Cross multiply
   1,466.07x = 2,255.82 × 2,255.82
4. Step 4: Simplify right side
   1,466.07x = 5,088,716.47
5. Step 5: Solve for x
   x = 5,088,716.47/1,466.07
6. Step 6: Final answer
   x = 3,471.00