Finding the Third Proportional to 2,354.70 and 3,562.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,354.70 : 3,562.42 = 3,562.42 : x
2. Step 2: Convert to fraction form
   2,354.70/3,562.42 = 3,562.42/x
3. Step 3: Cross multiply
   2,354.70x = 3,562.42 × 3,562.42
4. Step 4: Simplify right side
   2,354.70x = 12,690,821.78
5. Step 5: Solve for x
   x = 12,690,821.78/2,354.70
6. Step 6: Final answer
   x = 5,389.58