Finding the Third Proportional to 2,214 and 4,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,214 : 4,081.50 = 4,081.50 : x
2. Step 2: Convert to fraction form
   2,214/4,081.50 = 4,081.50/x
3. Step 3: Cross multiply
   2,214x = 4,081.50 × 4,081.50
4. Step 4: Simplify right side
   2,214x = 16,658,642.25
5. Step 5: Solve for x
   x = 16,658,642.25/2,214
6. Step 6: Final answer
   x = 7,524.23