Finding the Third Proportional to 19,780 and 42,826

Step by Step Solution

1. Step 1: Write the proportion equation
   19,780 : 42,826 = 42,826 : x
2. Step 2: Convert to fraction form
   19,780/42,826 = 42,826/x
3. Step 3: Cross multiply
   19,780x = 42,826 × 42,826
4. Step 4: Simplify right side
   19,780x = 1,834,066,276
5. Step 5: Solve for x
   x = 1,834,066,276/19,780
6. Step 6: Final answer
   x = 92,723.27