Finding the Third Proportional to 17,760 and 25,984

Step by Step Solution

1. Step 1: Write the proportion equation
   17,760 : 25,984 = 25,984 : x
2. Step 2: Convert to fraction form
   17,760/25,984 = 25,984/x
3. Step 3: Cross multiply
   17,760x = 25,984 × 25,984
4. Step 4: Simplify right side
   17,760x = 675,168,256
5. Step 5: Solve for x
   x = 675,168,256/17,760
6. Step 6: Final answer
   x = 38,016.23