Finding the Third Proportional to 5,006 and 10,522

Step by Step Solution

1. Step 1: Write the proportion equation
   5,006 : 10,522 = 10,522 : x
2. Step 2: Convert to fraction form
   5,006/10,522 = 10,522/x
3. Step 3: Cross multiply
   5,006x = 10,522 × 10,522
4. Step 4: Simplify right side
   5,006x = 110,712,484
5. Step 5: Solve for x
   x = 110,712,484/5,006
6. Step 6: Final answer
   x = 22,115.96