Finding the Third Proportional to 5,023 and 10,505

Step by Step Solution

1. Step 1: Write the proportion equation
   5,023 : 10,505 = 10,505 : x
2. Step 2: Convert to fraction form
   5,023/10,505 = 10,505/x
3. Step 3: Cross multiply
   5,023x = 10,505 × 10,505
4. Step 4: Simplify right side
   5,023x = 110,355,025
5. Step 5: Solve for x
   x = 110,355,025/5,023
6. Step 6: Final answer
   x = 21,969.94