Finding the Third Proportional to 19,665 and 29,223

Step by Step Solution

1. Step 1: Write the proportion equation
   19,665 : 29,223 = 29,223 : x
2. Step 2: Convert to fraction form
   19,665/29,223 = 29,223/x
3. Step 3: Cross multiply
   19,665x = 29,223 × 29,223
4. Step 4: Simplify right side
   19,665x = 853,983,729
5. Step 5: Solve for x
   x = 853,983,729/19,665
6. Step 6: Final answer
   x = 43,426.58