Finding the Third Proportional to 1,408 and 3,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408 : 3,064.50 = 3,064.50 : x
2. Step 2: Convert to fraction form
   1,408/3,064.50 = 3,064.50/x
3. Step 3: Cross multiply
   1,408x = 3,064.50 × 3,064.50
4. Step 4: Simplify right side
   1,408x = 9,391,160.25
5. Step 5: Solve for x
   x = 9,391,160.25/1,408
6. Step 6: Final answer
   x = 6,669.86