Finding the Third Proportional to 9,666.38 and 14,216.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.38 : 14,216.06 = 14,216.06 : x
2. Step 2: Convert to fraction form
   9,666.38/14,216.06 = 14,216.06/x
3. Step 3: Cross multiply
   9,666.38x = 14,216.06 × 14,216.06
4. Step 4: Simplify right side
   9,666.38x = 202,096,433.00
5. Step 5: Solve for x
   x = 202,096,433.00/9,666.38
6. Step 6: Final answer
   x = 20,907.16