Finding the Third Proportional to 17,146 and 26,538

Step by Step Solution

1. Step 1: Write the proportion equation
   17,146 : 26,538 = 26,538 : x
2. Step 2: Convert to fraction form
   17,146/26,538 = 26,538/x
3. Step 3: Cross multiply
   17,146x = 26,538 × 26,538
4. Step 4: Simplify right side
   17,146x = 704,265,444
5. Step 5: Solve for x
   x = 704,265,444/17,146
6. Step 6: Final answer
   x = 41,074.62