Finding the Third Proportional to 13,128 and 17,740

Step by Step Solution

1. Step 1: Write the proportion equation
   13,128 : 17,740 = 17,740 : x
2. Step 2: Convert to fraction form
   13,128/17,740 = 17,740/x
3. Step 3: Cross multiply
   13,128x = 17,740 × 17,740
4. Step 4: Simplify right side
   13,128x = 314,707,600
5. Step 5: Solve for x
   x = 314,707,600/13,128
6. Step 6: Final answer
   x = 23,972.24