Finding the Third Proportional to 1,054.69 and 1,408.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.69 : 1,408.22 = 1,408.22 : x
2. Step 2: Convert to fraction form
   1,054.69/1,408.22 = 1,408.22/x
3. Step 3: Cross multiply
   1,054.69x = 1,408.22 × 1,408.22
4. Step 4: Simplify right side
   1,054.69x = 1,983,080.05
5. Step 5: Solve for x
   x = 1,983,080.05/1,054.69
6. Step 6: Final answer
   x = 1,880.25