Finding the Third Proportional to 11,005 and 14,670

Step by Step Solution

1. Step 1: Write the proportion equation
   11,005 : 14,670 = 14,670 : x
2. Step 2: Convert to fraction form
   11,005/14,670 = 14,670/x
3. Step 3: Cross multiply
   11,005x = 14,670 × 14,670
4. Step 4: Simplify right side
   11,005x = 215,208,900
5. Step 5: Solve for x
   x = 215,208,900/11,005
6. Step 6: Final answer
   x = 19,555.56