Finding the Third Proportional to 1,408.13 and 2,154.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.13 : 2,154.94 = 2,154.94 : x
2. Step 2: Convert to fraction form
   1,408.13/2,154.94 = 2,154.94/x
3. Step 3: Cross multiply
   1,408.13x = 2,154.94 × 2,154.94
4. Step 4: Simplify right side
   1,408.13x = 4,643,755.63
5. Step 5: Solve for x
   x = 4,643,755.63/1,408.13
6. Step 6: Final answer
   x = 3,297.83