Finding the Third Proportional to 17,876 and 41,561

Step by Step Solution

1. Step 1: Write the proportion equation
   17,876 : 41,561 = 41,561 : x
2. Step 2: Convert to fraction form
   17,876/41,561 = 41,561/x
3. Step 3: Cross multiply
   17,876x = 41,561 × 41,561
4. Step 4: Simplify right side
   17,876x = 1,727,316,721
5. Step 5: Solve for x
   x = 1,727,316,721/17,876
6. Step 6: Final answer
   x = 96,627.70