Finding the Third Proportional to 16,349 and 23,023

Step by Step Solution

1. Step 1: Write the proportion equation
   16,349 : 23,023 = 23,023 : x
2. Step 2: Convert to fraction form
   16,349/23,023 = 23,023/x
3. Step 3: Cross multiply
   16,349x = 23,023 × 23,023
4. Step 4: Simplify right side
   16,349x = 530,058,529
5. Step 5: Solve for x
   x = 530,058,529/16,349
6. Step 6: Final answer
   x = 32,421.46