Finding the Third Proportional to 10,469 and 25,299

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469 : 25,299 = 25,299 : x
2. Step 2: Convert to fraction form
   10,469/25,299 = 25,299/x
3. Step 3: Cross multiply
   10,469x = 25,299 × 25,299
4. Step 4: Simplify right side
   10,469x = 640,039,401
5. Step 5: Solve for x
   x = 640,039,401/10,469
6. Step 6: Final answer
   x = 61,136.63