Finding the Third Proportional to 17,384 and 38,223

Step by Step Solution

1. Step 1: Write the proportion equation
   17,384 : 38,223 = 38,223 : x
2. Step 2: Convert to fraction form
   17,384/38,223 = 38,223/x
3. Step 3: Cross multiply
   17,384x = 38,223 × 38,223
4. Step 4: Simplify right side
   17,384x = 1,460,997,729
5. Step 5: Solve for x
   x = 1,460,997,729/17,384
6. Step 6: Final answer
   x = 84,042.67