Finding the Third Proportional to 16,981 and 37,417

Step by Step Solution

1. Step 1: Write the proportion equation
   16,981 : 37,417 = 37,417 : x
2. Step 2: Convert to fraction form
   16,981/37,417 = 37,417/x
3. Step 3: Cross multiply
   16,981x = 37,417 × 37,417
4. Step 4: Simplify right side
   16,981x = 1,400,031,889
5. Step 5: Solve for x
   x = 1,400,031,889/16,981
6. Step 6: Final answer
   x = 82,446.96