Finding the Third Proportional to 17,664 and 25,980

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 25,980 = 25,980 : x
2. Step 2: Convert to fraction form
   17,664/25,980 = 25,980/x
3. Step 3: Cross multiply
   17,664x = 25,980 × 25,980
4. Step 4: Simplify right side
   17,664x = 674,960,400
5. Step 5: Solve for x
   x = 674,960,400/17,664
6. Step 6: Final answer
   x = 38,211.07