Finding the Third Proportional to 10,226.25 and 16,610.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,226.25 : 16,610.06 = 16,610.06 : x
2. Step 2: Convert to fraction form
   10,226.25/16,610.06 = 16,610.06/x
3. Step 3: Cross multiply
   10,226.25x = 16,610.06 × 16,610.06
4. Step 4: Simplify right side
   10,226.25x = 275,894,176.25
5. Step 5: Solve for x
   x = 275,894,176.25/10,226.25
6. Step 6: Final answer
   x = 26,979.02