Finding the Third Proportional to 19,684 and 42,460

Step by Step Solution

1. Step 1: Write the proportion equation
   19,684 : 42,460 = 42,460 : x
2. Step 2: Convert to fraction form
   19,684/42,460 = 42,460/x
3. Step 3: Cross multiply
   19,684x = 42,460 × 42,460
4. Step 4: Simplify right side
   19,684x = 1,802,851,600
5. Step 5: Solve for x
   x = 1,802,851,600/19,684
6. Step 6: Final answer
   x = 91,589.70