Finding the Third Proportional to 9,734 and 13,046

Step by Step Solution

1. Step 1: Write the proportion equation
   9,734 : 13,046 = 13,046 : x
2. Step 2: Convert to fraction form
   9,734/13,046 = 13,046/x
3. Step 3: Cross multiply
   9,734x = 13,046 × 13,046
4. Step 4: Simplify right side
   9,734x = 170,198,116
5. Step 5: Solve for x
   x = 170,198,116/9,734
6. Step 6: Final answer
   x = 17,484.91