Finding the Third Proportional to 12,697 and 19,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,697 : 19,855.50 = 19,855.50 : x
2. Step 2: Convert to fraction form
   12,697/19,855.50 = 19,855.50/x
3. Step 3: Cross multiply
   12,697x = 19,855.50 × 19,855.50
4. Step 4: Simplify right side
   12,697x = 394,240,880.25
5. Step 5: Solve for x
   x = 394,240,880.25/12,697
6. Step 6: Final answer
   x = 31,049.92