Finding the Third Proportional to 2,416 and 3,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,416 : 3,214.50 = 3,214.50 : x
2. Step 2: Convert to fraction form
   2,416/3,214.50 = 3,214.50/x
3. Step 3: Cross multiply
   2,416x = 3,214.50 × 3,214.50
4. Step 4: Simplify right side
   2,416x = 10,333,010.25
5. Step 5: Solve for x
   x = 10,333,010.25/2,416
6. Step 6: Final answer
   x = 4,276.91