Finding the Third Proportional to 10,024 and 17,680

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 17,680 = 17,680 : x
2. Step 2: Convert to fraction form
   10,024/17,680 = 17,680/x
3. Step 3: Cross multiply
   10,024x = 17,680 × 17,680
4. Step 4: Simplify right side
   10,024x = 312,582,400
5. Step 5: Solve for x
   x = 312,582,400/10,024
6. Step 6: Final answer
   x = 31,183.40