Finding the Third Proportional to 1,089.50 and 2,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.50 : 2,213.50 = 2,213.50 : x
2. Step 2: Convert to fraction form
   1,089.50/2,213.50 = 2,213.50/x
3. Step 3: Cross multiply
   1,089.50x = 2,213.50 × 2,213.50
4. Step 4: Simplify right side
   1,089.50x = 4,899,582.25
5. Step 5: Solve for x
   x = 4,899,582.25/1,089.50
6. Step 6: Final answer
   x = 4,497.09