Finding the Third Proportional to 12,196 and 15,654

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 15,654 = 15,654 : x
2. Step 2: Convert to fraction form
   12,196/15,654 = 15,654/x
3. Step 3: Cross multiply
   12,196x = 15,654 × 15,654
4. Step 4: Simplify right side
   12,196x = 245,047,716
5. Step 5: Solve for x
   x = 245,047,716/12,196
6. Step 6: Final answer
   x = 20,092.47