Finding the Third Proportional to 10,926.14 and 16,606.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,926.14 : 16,606.27 = 16,606.27 : x
2. Step 2: Convert to fraction form
   10,926.14/16,606.27 = 16,606.27/x
3. Step 3: Cross multiply
   10,926.14x = 16,606.27 × 16,606.27
4. Step 4: Simplify right side
   10,926.14x = 275,768,058.01
5. Step 5: Solve for x
   x = 275,768,058.01/10,926.14
6. Step 6: Final answer
   x = 25,239.29