Finding the Third Proportional to 11,710 and 17,546

Step by Step Solution

1. Step 1: Write the proportion equation
   11,710 : 17,546 = 17,546 : x
2. Step 2: Convert to fraction form
   11,710/17,546 = 17,546/x
3. Step 3: Cross multiply
   11,710x = 17,546 × 17,546
4. Step 4: Simplify right side
   11,710x = 307,862,116
5. Step 5: Solve for x
   x = 307,862,116/11,710
6. Step 6: Final answer
   x = 26,290.53