Finding the Third Proportional to 9,620 and 14,066

Step by Step Solution

1. Step 1: Write the proportion equation
   9,620 : 14,066 = 14,066 : x
2. Step 2: Convert to fraction form
   9,620/14,066 = 14,066/x
3. Step 3: Cross multiply
   9,620x = 14,066 × 14,066
4. Step 4: Simplify right side
   9,620x = 197,852,356
5. Step 5: Solve for x
   x = 197,852,356/9,620
6. Step 6: Final answer
   x = 20,566.77