Finding the Third Proportional to 16,986 and 37,314

Step by Step Solution

1. Step 1: Write the proportion equation
   16,986 : 37,314 = 37,314 : x
2. Step 2: Convert to fraction form
   16,986/37,314 = 37,314/x
3. Step 3: Cross multiply
   16,986x = 37,314 × 37,314
4. Step 4: Simplify right side
   16,986x = 1,392,334,596
5. Step 5: Solve for x
   x = 1,392,334,596/16,986
6. Step 6: Final answer
   x = 81,969.54