Finding the Third Proportional to 16,040 and 23,648

Step by Step Solution

1. Step 1: Write the proportion equation
   16,040 : 23,648 = 23,648 : x
2. Step 2: Convert to fraction form
   16,040/23,648 = 23,648/x
3. Step 3: Cross multiply
   16,040x = 23,648 × 23,648
4. Step 4: Simplify right side
   16,040x = 559,227,904
5. Step 5: Solve for x
   x = 559,227,904/16,040
6. Step 6: Final answer
   x = 34,864.58