Finding the Third Proportional to 2,198.63 and 3,239.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,198.63 : 3,239.25 = 3,239.25 : x
2. Step 2: Convert to fraction form
   2,198.63/3,239.25 = 3,239.25/x
3. Step 3: Cross multiply
   2,198.63x = 3,239.25 × 3,239.25
4. Step 4: Simplify right side
   2,198.63x = 10,492,740.56
5. Step 5: Solve for x
   x = 10,492,740.56/2,198.63
6. Step 6: Final answer
   x = 4,772.41