Finding the Third Proportional to 3,014 and 4,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,014 : 4,494.50 = 4,494.50 : x
2. Step 2: Convert to fraction form
   3,014/4,494.50 = 4,494.50/x
3. Step 3: Cross multiply
   3,014x = 4,494.50 × 4,494.50
4. Step 4: Simplify right side
   3,014x = 20,200,530.25
5. Step 5: Solve for x
   x = 20,200,530.25/3,014
6. Step 6: Final answer
   x = 6,702.23