Finding the Third Proportional to 1,408.88 and 3,086.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.88 : 3,086.63 = 3,086.63 : x
2. Step 2: Convert to fraction form
   1,408.88/3,086.63 = 3,086.63/x
3. Step 3: Cross multiply
   1,408.88x = 3,086.63 × 3,086.63
4. Step 4: Simplify right side
   1,408.88x = 9,527,253.89
5. Step 5: Solve for x
   x = 9,527,253.89/1,408.88
6. Step 6: Final answer
   x = 6,762.31