Finding the Third Proportional to 12,196 and 25,349

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 25,349 = 25,349 : x
2. Step 2: Convert to fraction form
   12,196/25,349 = 25,349/x
3. Step 3: Cross multiply
   12,196x = 25,349 × 25,349
4. Step 4: Simplify right side
   12,196x = 642,571,801
5. Step 5: Solve for x
   x = 642,571,801/12,196
6. Step 6: Final answer
   x = 52,687.09