Finding the Third Proportional to 2,014 and 3,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014 : 3,234.50 = 3,234.50 : x
2. Step 2: Convert to fraction form
   2,014/3,234.50 = 3,234.50/x
3. Step 3: Cross multiply
   2,014x = 3,234.50 × 3,234.50
4. Step 4: Simplify right side
   2,014x = 10,461,990.25
5. Step 5: Solve for x
   x = 10,461,990.25/2,014
6. Step 6: Final answer
   x = 5,194.63