Finding the Third Proportional to 9,116 and 13,740

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116 : 13,740 = 13,740 : x
2. Step 2: Convert to fraction form
   9,116/13,740 = 13,740/x
3. Step 3: Cross multiply
   9,116x = 13,740 × 13,740
4. Step 4: Simplify right side
   9,116x = 188,787,600
5. Step 5: Solve for x
   x = 188,787,600/9,116
6. Step 6: Final answer
   x = 20,709.48