Finding the Third Proportional to 42,864 and 67,320

Step by Step Solution

1. Step 1: Write the proportion equation
   42,864 : 67,320 = 67,320 : x
2. Step 2: Convert to fraction form
   42,864/67,320 = 67,320/x
3. Step 3: Cross multiply
   42,864x = 67,320 × 67,320
4. Step 4: Simplify right side
   42,864x = 4,531,982,400
5. Step 5: Solve for x
   x = 4,531,982,400/42,864
6. Step 6: Final answer
   x = 105,729.34