Finding the Third Proportional to 17,732 and 38,384

Step by Step Solution

1. Step 1: Write the proportion equation
   17,732 : 38,384 = 38,384 : x
2. Step 2: Convert to fraction form
   17,732/38,384 = 38,384/x
3. Step 3: Cross multiply
   17,732x = 38,384 × 38,384
4. Step 4: Simplify right side
   17,732x = 1,473,331,456
5. Step 5: Solve for x
   x = 1,473,331,456/17,732
6. Step 6: Final answer
   x = 83,088.85