Finding the Third Proportional to 9,740 and 13,546

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740 : 13,546 = 13,546 : x
2. Step 2: Convert to fraction form
   9,740/13,546 = 13,546/x
3. Step 3: Cross multiply
   9,740x = 13,546 × 13,546
4. Step 4: Simplify right side
   9,740x = 183,494,116
5. Step 5: Solve for x
   x = 183,494,116/9,740
6. Step 6: Final answer
   x = 18,839.23