Finding the Third Proportional to 1,460.44 and 2,205.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.44 : 2,205.94 = 2,205.94 : x
2. Step 2: Convert to fraction form
   1,460.44/2,205.94 = 2,205.94/x
3. Step 3: Cross multiply
   1,460.44x = 2,205.94 × 2,205.94
4. Step 4: Simplify right side
   1,460.44x = 4,866,160.25
5. Step 5: Solve for x
   x = 4,866,160.25/1,460.44
6. Step 6: Final answer
   x = 3,331.99