Finding the Third Proportional to 11,196 and 23,606

Step by Step Solution

1. Step 1: Write the proportion equation
   11,196 : 23,606 = 23,606 : x
2. Step 2: Convert to fraction form
   11,196/23,606 = 23,606/x
3. Step 3: Cross multiply
   11,196x = 23,606 × 23,606
4. Step 4: Simplify right side
   11,196x = 557,243,236
5. Step 5: Solve for x
   x = 557,243,236/11,196
6. Step 6: Final answer
   x = 49,771.64