Finding the Third Proportional to 19,781 and 42,982

Step by Step Solution

1. Step 1: Write the proportion equation
   19,781 : 42,982 = 42,982 : x
2. Step 2: Convert to fraction form
   19,781/42,982 = 42,982/x
3. Step 3: Cross multiply
   19,781x = 42,982 × 42,982
4. Step 4: Simplify right side
   19,781x = 1,847,452,324
5. Step 5: Solve for x
   x = 1,847,452,324/19,781
6. Step 6: Final answer
   x = 93,395.29