Finding the Third Proportional to 16,440 and 23,509

Step by Step Solution

1. Step 1: Write the proportion equation
   16,440 : 23,509 = 23,509 : x
2. Step 2: Convert to fraction form
   16,440/23,509 = 23,509/x
3. Step 3: Cross multiply
   16,440x = 23,509 × 23,509
4. Step 4: Simplify right side
   16,440x = 552,673,081
5. Step 5: Solve for x
   x = 552,673,081/16,440
6. Step 6: Final answer
   x = 33,617.58