Finding the Third Proportional to 17,724 and 23,058

Step by Step Solution

1. Step 1: Write the proportion equation
   17,724 : 23,058 = 23,058 : x
2. Step 2: Convert to fraction form
   17,724/23,058 = 23,058/x
3. Step 3: Cross multiply
   17,724x = 23,058 × 23,058
4. Step 4: Simplify right side
   17,724x = 531,671,364
5. Step 5: Solve for x
   x = 531,671,364/17,724
6. Step 6: Final answer
   x = 29,997.26