Finding the Third Proportional to 12,196 and 25,312

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 25,312 = 25,312 : x
2. Step 2: Convert to fraction form
   12,196/25,312 = 25,312/x
3. Step 3: Cross multiply
   12,196x = 25,312 × 25,312
4. Step 4: Simplify right side
   12,196x = 640,697,344
5. Step 5: Solve for x
   x = 640,697,344/12,196
6. Step 6: Final answer
   x = 52,533.40