Finding the Third Proportional to 19,701 and 42,684

Step by Step Solution

1. Step 1: Write the proportion equation
   19,701 : 42,684 = 42,684 : x
2. Step 2: Convert to fraction form
   19,701/42,684 = 42,684/x
3. Step 3: Cross multiply
   19,701x = 42,684 × 42,684
4. Step 4: Simplify right side
   19,701x = 1,821,923,856
5. Step 5: Solve for x
   x = 1,821,923,856/19,701
6. Step 6: Final answer
   x = 92,478.75