Finding the Third Proportional to 17,680 and 25,608

Step by Step Solution

1. Step 1: Write the proportion equation
   17,680 : 25,608 = 25,608 : x
2. Step 2: Convert to fraction form
   17,680/25,608 = 25,608/x
3. Step 3: Cross multiply
   17,680x = 25,608 × 25,608
4. Step 4: Simplify right side
   17,680x = 655,769,664
5. Step 5: Solve for x
   x = 655,769,664/17,680
6. Step 6: Final answer
   x = 37,091.04