Finding the Third Proportional to 27,864 and 42,768

Step by Step Solution

1. Step 1: Write the proportion equation
   27,864 : 42,768 = 42,768 : x
2. Step 2: Convert to fraction form
   27,864/42,768 = 42,768/x
3. Step 3: Cross multiply
   27,864x = 42,768 × 42,768
4. Step 4: Simplify right side
   27,864x = 1,829,101,824
5. Step 5: Solve for x
   x = 1,829,101,824/27,864
6. Step 6: Final answer
   x = 65,643.91