Finding the Third Proportional to 11,196 and 15,642

Step by Step Solution

1. Step 1: Write the proportion equation
   11,196 : 15,642 = 15,642 : x
2. Step 2: Convert to fraction form
   11,196/15,642 = 15,642/x
3. Step 3: Cross multiply
   11,196x = 15,642 × 15,642
4. Step 4: Simplify right side
   11,196x = 244,672,164
5. Step 5: Solve for x
   x = 244,672,164/11,196
6. Step 6: Final answer
   x = 21,853.53