Finding the Third Proportional to 19,888 and 42,823

Step by Step Solution

1. Step 1: Write the proportion equation
   19,888 : 42,823 = 42,823 : x
2. Step 2: Convert to fraction form
   19,888/42,823 = 42,823/x
3. Step 3: Cross multiply
   19,888x = 42,823 × 42,823
4. Step 4: Simplify right side
   19,888x = 1,833,809,329
5. Step 5: Solve for x
   x = 1,833,809,329/19,888
6. Step 6: Final answer
   x = 92,206.82