Finding the Third Proportional to 5,680 and 10,084

Step by Step Solution

1. Step 1: Write the proportion equation
   5,680 : 10,084 = 10,084 : x
2. Step 2: Convert to fraction form
   5,680/10,084 = 10,084/x
3. Step 3: Cross multiply
   5,680x = 10,084 × 10,084
4. Step 4: Simplify right side
   5,680x = 101,687,056
5. Step 5: Solve for x
   x = 101,687,056/5,680
6. Step 6: Final answer
   x = 17,902.65