Finding the Third Proportional to 9,566 and 14,034

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566 : 14,034 = 14,034 : x
2. Step 2: Convert to fraction form
   9,566/14,034 = 14,034/x
3. Step 3: Cross multiply
   9,566x = 14,034 × 14,034
4. Step 4: Simplify right side
   9,566x = 196,953,156
5. Step 5: Solve for x
   x = 196,953,156/9,566
6. Step 6: Final answer
   x = 20,588.87