Finding the Third Proportional to 2,189.53 and 3,348.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.53 : 3,348.42 = 3,348.42 : x
2. Step 2: Convert to fraction form
   2,189.53/3,348.42 = 3,348.42/x
3. Step 3: Cross multiply
   2,189.53x = 3,348.42 × 3,348.42
4. Step 4: Simplify right side
   2,189.53x = 11,211,929.05
5. Step 5: Solve for x
   x = 11,211,929.05/2,189.53
6. Step 6: Final answer
   x = 5,120.70