Finding the Third Proportional to 12,805 and 19,597

Step by Step Solution

1. Step 1: Write the proportion equation
   12,805 : 19,597 = 19,597 : x
2. Step 2: Convert to fraction form
   12,805/19,597 = 19,597/x
3. Step 3: Cross multiply
   12,805x = 19,597 × 19,597
4. Step 4: Simplify right side
   12,805x = 384,042,409
5. Step 5: Solve for x
   x = 384,042,409/12,805
6. Step 6: Final answer
   x = 29,991.60