Finding the Third Proportional to 13,040 and 17,706

Step by Step Solution

1. Step 1: Write the proportion equation
   13,040 : 17,706 = 17,706 : x
2. Step 2: Convert to fraction form
   13,040/17,706 = 17,706/x
3. Step 3: Cross multiply
   13,040x = 17,706 × 17,706
4. Step 4: Simplify right side
   13,040x = 313,502,436
5. Step 5: Solve for x
   x = 313,502,436/13,040
6. Step 6: Final answer
   x = 24,041.60