Finding the Third Proportional to 12,566 and 19,469

Step by Step Solution

1. Step 1: Write the proportion equation
   12,566 : 19,469 = 19,469 : x
2. Step 2: Convert to fraction form
   12,566/19,469 = 19,469/x
3. Step 3: Cross multiply
   12,566x = 19,469 × 19,469
4. Step 4: Simplify right side
   12,566x = 379,041,961
5. Step 5: Solve for x
   x = 379,041,961/12,566
6. Step 6: Final answer
   x = 30,164.09