Finding the Third Proportional to 12,196 and 25,736

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 25,736 = 25,736 : x
2. Step 2: Convert to fraction form
   12,196/25,736 = 25,736/x
3. Step 3: Cross multiply
   12,196x = 25,736 × 25,736
4. Step 4: Simplify right side
   12,196x = 662,341,696
5. Step 5: Solve for x
   x = 662,341,696/12,196
6. Step 6: Final answer
   x = 54,308.11