Finding the Third Proportional to 13,223 and 19,970

Step by Step Solution

1. Step 1: Write the proportion equation
   13,223 : 19,970 = 19,970 : x
2. Step 2: Convert to fraction form
   13,223/19,970 = 19,970/x
3. Step 3: Cross multiply
   13,223x = 19,970 × 19,970
4. Step 4: Simplify right side
   13,223x = 398,800,900
5. Step 5: Solve for x
   x = 398,800,900/13,223
6. Step 6: Final answer
   x = 30,159.64