Finding the Third Proportional to 10,930 and 16,914

Step by Step Solution

1. Step 1: Write the proportion equation
   10,930 : 16,914 = 16,914 : x
2. Step 2: Convert to fraction form
   10,930/16,914 = 16,914/x
3. Step 3: Cross multiply
   10,930x = 16,914 × 16,914
4. Step 4: Simplify right side
   10,930x = 286,083,396
5. Step 5: Solve for x
   x = 286,083,396/10,930
6. Step 6: Final answer
   x = 26,174.14