Finding the Third Proportional to 5,006 and 10,490

Step by Step Solution

1. Step 1: Write the proportion equation
   5,006 : 10,490 = 10,490 : x
2. Step 2: Convert to fraction form
   5,006/10,490 = 10,490/x
3. Step 3: Cross multiply
   5,006x = 10,490 × 10,490
4. Step 4: Simplify right side
   5,006x = 110,040,100
5. Step 5: Solve for x
   x = 110,040,100/5,006
6. Step 6: Final answer
   x = 21,981.64