Finding the Third Proportional to 19,738 and 42,821

Step by Step Solution

1. Step 1: Write the proportion equation
   19,738 : 42,821 = 42,821 : x
2. Step 2: Convert to fraction form
   19,738/42,821 = 42,821/x
3. Step 3: Cross multiply
   19,738x = 42,821 × 42,821
4. Step 4: Simplify right side
   19,738x = 1,833,638,041
5. Step 5: Solve for x
   x = 1,833,638,041/19,738
6. Step 6: Final answer
   x = 92,898.88