Finding the Third Proportional to 5,849.25 and 12,697.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,849.25 : 12,697.88 = 12,697.88 : x
2. Step 2: Convert to fraction form
   5,849.25/12,697.88 = 12,697.88/x
3. Step 3: Cross multiply
   5,849.25x = 12,697.88 × 12,697.88
4. Step 4: Simplify right side
   5,849.25x = 161,236,029.52
5. Step 5: Solve for x
   x = 161,236,029.52/5,849.25
6. Step 6: Final answer
   x = 27,565.25