Finding the Third Proportional to 2,214 and 2,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,214 : 2,362.50 = 2,362.50 : x
2. Step 2: Convert to fraction form
   2,214/2,362.50 = 2,362.50/x
3. Step 3: Cross multiply
   2,214x = 2,362.50 × 2,362.50
4. Step 4: Simplify right side
   2,214x = 5,581,406.25
5. Step 5: Solve for x
   x = 5,581,406.25/2,214
6. Step 6: Final answer
   x = 2,520.96