Finding the Third Proportional to 17,876 and 27,196

Step by Step Solution

1. Step 1: Write the proportion equation
   17,876 : 27,196 = 27,196 : x
2. Step 2: Convert to fraction form
   17,876/27,196 = 27,196/x
3. Step 3: Cross multiply
   17,876x = 27,196 × 27,196
4. Step 4: Simplify right side
   17,876x = 739,622,416
5. Step 5: Solve for x
   x = 739,622,416/17,876
6. Step 6: Final answer
   x = 41,375.16