Finding the Third Proportional to 1,638 and 2,216.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638 : 2,216.25 = 2,216.25 : x
2. Step 2: Convert to fraction form
   1,638/2,216.25 = 2,216.25/x
3. Step 3: Cross multiply
   1,638x = 2,216.25 × 2,216.25
4. Step 4: Simplify right side
   1,638x = 4,911,764.06
5. Step 5: Solve for x
   x = 4,911,764.06/1,638
6. Step 6: Final answer
   x = 2,998.63