Finding the Third Proportional to 10,494 and 22,023

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494 : 22,023 = 22,023 : x
2. Step 2: Convert to fraction form
   10,494/22,023 = 22,023/x
3. Step 3: Cross multiply
   10,494x = 22,023 × 22,023
4. Step 4: Simplify right side
   10,494x = 485,012,529
5. Step 5: Solve for x
   x = 485,012,529/10,494
6. Step 6: Final answer
   x = 46,218.08