Finding the Third Proportional to 7,744 and 17,940

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744 : 17,940 = 17,940 : x
2. Step 2: Convert to fraction form
   7,744/17,940 = 17,940/x
3. Step 3: Cross multiply
   7,744x = 17,940 × 17,940
4. Step 4: Simplify right side
   7,744x = 321,843,600
5. Step 5: Solve for x
   x = 321,843,600/7,744
6. Step 6: Final answer
   x = 41,560.38