Finding the Third Proportional to 16,982 and 37,418

Step by Step Solution

1. Step 1: Write the proportion equation
   16,982 : 37,418 = 37,418 : x
2. Step 2: Convert to fraction form
   16,982/37,418 = 37,418/x
3. Step 3: Cross multiply
   16,982x = 37,418 × 37,418
4. Step 4: Simplify right side
   16,982x = 1,400,106,724
5. Step 5: Solve for x
   x = 1,400,106,724/16,982
6. Step 6: Final answer
   x = 82,446.52