Finding the Third Proportional to 11,609 and 20,914

Step by Step Solution

1. Step 1: Write the proportion equation
   11,609 : 20,914 = 20,914 : x
2. Step 2: Convert to fraction form
   11,609/20,914 = 20,914/x
3. Step 3: Cross multiply
   11,609x = 20,914 × 20,914
4. Step 4: Simplify right side
   11,609x = 437,395,396
5. Step 5: Solve for x
   x = 437,395,396/11,609
6. Step 6: Final answer
   x = 37,677.27