Finding the Third Proportional to 21,972 and 42,864

Step by Step Solution

1. Step 1: Write the proportion equation
   21,972 : 42,864 = 42,864 : x
2. Step 2: Convert to fraction form
   21,972/42,864 = 42,864/x
3. Step 3: Cross multiply
   21,972x = 42,864 × 42,864
4. Step 4: Simplify right side
   21,972x = 1,837,322,496
5. Step 5: Solve for x
   x = 1,837,322,496/21,972
6. Step 6: Final answer
   x = 83,621.09