Finding the Third Proportional to 19,884 and 42,864

Step by Step Solution

1. Step 1: Write the proportion equation
   19,884 : 42,864 = 42,864 : x
2. Step 2: Convert to fraction form
   19,884/42,864 = 42,864/x
3. Step 3: Cross multiply
   19,884x = 42,864 × 42,864
4. Step 4: Simplify right side
   19,884x = 1,837,322,496
5. Step 5: Solve for x
   x = 1,837,322,496/19,884
6. Step 6: Final answer
   x = 92,402.06