Finding the Third Proportional to 12,940 and 17,546

Step by Step Solution

1. Step 1: Write the proportion equation
   12,940 : 17,546 = 17,546 : x
2. Step 2: Convert to fraction form
   12,940/17,546 = 17,546/x
3. Step 3: Cross multiply
   12,940x = 17,546 × 17,546
4. Step 4: Simplify right side
   12,940x = 307,862,116
5. Step 5: Solve for x
   x = 307,862,116/12,940
6. Step 6: Final answer
   x = 23,791.51