Finding the Third Proportional to 10,014 and 17,706

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014 : 17,706 = 17,706 : x
2. Step 2: Convert to fraction form
   10,014/17,706 = 17,706/x
3. Step 3: Cross multiply
   10,014x = 17,706 × 17,706
4. Step 4: Simplify right side
   10,014x = 313,502,436
5. Step 5: Solve for x
   x = 313,502,436/10,014
6. Step 6: Final answer
   x = 31,306.41