Finding the Third Proportional to 2,354.91 and 3,562.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,354.91 : 3,562.59 = 3,562.59 : x
2. Step 2: Convert to fraction form
   2,354.91/3,562.59 = 3,562.59/x
3. Step 3: Cross multiply
   2,354.91x = 3,562.59 × 3,562.59
4. Step 4: Simplify right side
   2,354.91x = 12,692,074.23
5. Step 5: Solve for x
   x = 12,692,074.23/2,354.91
6. Step 6: Final answer
   x = 5,389.63