Finding the Third Proportional to 11,564 and 16,914

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 16,914 = 16,914 : x
2. Step 2: Convert to fraction form
   11,564/16,914 = 16,914/x
3. Step 3: Cross multiply
   11,564x = 16,914 × 16,914
4. Step 4: Simplify right side
   11,564x = 286,083,396
5. Step 5: Solve for x
   x = 286,083,396/11,564
6. Step 6: Final answer
   x = 24,739.14