Finding the Third Proportional to 20,194 and 28,384

Step by Step Solution

1. Step 1: Write the proportion equation
   20,194 : 28,384 = 28,384 : x
2. Step 2: Convert to fraction form
   20,194/28,384 = 28,384/x
3. Step 3: Cross multiply
   20,194x = 28,384 × 28,384
4. Step 4: Simplify right side
   20,194x = 805,651,456
5. Step 5: Solve for x
   x = 805,651,456/20,194
6. Step 6: Final answer
   x = 39,895.59