Finding the Third Proportional to 17,864 and 38,320

Step by Step Solution

1. Step 1: Write the proportion equation
   17,864 : 38,320 = 38,320 : x
2. Step 2: Convert to fraction form
   17,864/38,320 = 38,320/x
3. Step 3: Cross multiply
   17,864x = 38,320 × 38,320
4. Step 4: Simplify right side
   17,864x = 1,468,422,400
5. Step 5: Solve for x
   x = 1,468,422,400/17,864
6. Step 6: Final answer
   x = 82,200.09