Finding the Third Proportional to 9,780 and 17,436

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780 : 17,436 = 17,436 : x
2. Step 2: Convert to fraction form
   9,780/17,436 = 17,436/x
3. Step 3: Cross multiply
   9,780x = 17,436 × 17,436
4. Step 4: Simplify right side
   9,780x = 304,014,096
5. Step 5: Solve for x
   x = 304,014,096/9,780
6. Step 6: Final answer
   x = 31,085.29