Finding the Third Proportional to 9,164 and 14,384

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164 : 14,384 = 14,384 : x
2. Step 2: Convert to fraction form
   9,164/14,384 = 14,384/x
3. Step 3: Cross multiply
   9,164x = 14,384 × 14,384
4. Step 4: Simplify right side
   9,164x = 206,899,456
5. Step 5: Solve for x
   x = 206,899,456/9,164
6. Step 6: Final answer
   x = 22,577.42