Finding the Third Proportional to 5,202 and 10,998

Step by Step Solution

1. Step 1: Write the proportion equation
   5,202 : 10,998 = 10,998 : x
2. Step 2: Convert to fraction form
   5,202/10,998 = 10,998/x
3. Step 3: Cross multiply
   5,202x = 10,998 × 10,998
4. Step 4: Simplify right side
   5,202x = 120,956,004
5. Step 5: Solve for x
   x = 120,956,004/5,202
6. Step 6: Final answer
   x = 23,251.83