Finding the Third Proportional to 9,774 and 17,424

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774 : 17,424 = 17,424 : x
2. Step 2: Convert to fraction form
   9,774/17,424 = 17,424/x
3. Step 3: Cross multiply
   9,774x = 17,424 × 17,424
4. Step 4: Simplify right side
   9,774x = 303,595,776
5. Step 5: Solve for x
   x = 303,595,776/9,774
6. Step 6: Final answer
   x = 31,061.57