Finding the Third Proportional to 1,401.21 and 2,198.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.21 : 2,198.31 = 2,198.31 : x
2. Step 2: Convert to fraction form
   1,401.21/2,198.31 = 2,198.31/x
3. Step 3: Cross multiply
   1,401.21x = 2,198.31 × 2,198.31
4. Step 4: Simplify right side
   1,401.21x = 4,832,573.55
5. Step 5: Solve for x
   x = 4,832,573.55/1,401.21
6. Step 6: Final answer
   x = 3,448.87