Finding the Third Proportional to 17,180 and 26,546

Step by Step Solution

1. Step 1: Write the proportion equation
   17,180 : 26,546 = 26,546 : x
2. Step 2: Convert to fraction form
   17,180/26,546 = 26,546/x
3. Step 3: Cross multiply
   17,180x = 26,546 × 26,546
4. Step 4: Simplify right side
   17,180x = 704,690,116
5. Step 5: Solve for x
   x = 704,690,116/17,180
6. Step 6: Final answer
   x = 41,018.05