Finding the Third Proportional to 2,224 and 2,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,224 : 2,984.50 = 2,984.50 : x
2. Step 2: Convert to fraction form
   2,224/2,984.50 = 2,984.50/x
3. Step 3: Cross multiply
   2,224x = 2,984.50 × 2,984.50
4. Step 4: Simplify right side
   2,224x = 8,907,240.25
5. Step 5: Solve for x
   x = 8,907,240.25/2,224
6. Step 6: Final answer
   x = 4,005.05