Finding the Third Proportional to 1,408.50 and 3,056.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.50 : 3,056.63 = 3,056.63 : x
2. Step 2: Convert to fraction form
   1,408.50/3,056.63 = 3,056.63/x
3. Step 3: Cross multiply
   1,408.50x = 3,056.63 × 3,056.63
4. Step 4: Simplify right side
   1,408.50x = 9,342,956.39
5. Step 5: Solve for x
   x = 9,342,956.39/1,408.50
6. Step 6: Final answer
   x = 6,633.27