Finding the Third Proportional to 9,746 and 17,440

Step by Step Solution

1. Step 1: Write the proportion equation
   9,746 : 17,440 = 17,440 : x
2. Step 2: Convert to fraction form
   9,746/17,440 = 17,440/x
3. Step 3: Cross multiply
   9,746x = 17,440 × 17,440
4. Step 4: Simplify right side
   9,746x = 304,153,600
5. Step 5: Solve for x
   x = 304,153,600/9,746
6. Step 6: Final answer
   x = 31,208.04