Finding the Third Proportional to 10,494 and 23,058

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494 : 23,058 = 23,058 : x
2. Step 2: Convert to fraction form
   10,494/23,058 = 23,058/x
3. Step 3: Cross multiply
   10,494x = 23,058 × 23,058
4. Step 4: Simplify right side
   10,494x = 531,671,364
5. Step 5: Solve for x
   x = 531,671,364/10,494
6. Step 6: Final answer
   x = 50,664.32