Finding the Third Proportional to 16,684 and 39,380

Step by Step Solution

1. Step 1: Write the proportion equation
   16,684 : 39,380 = 39,380 : x
2. Step 2: Convert to fraction form
   16,684/39,380 = 39,380/x
3. Step 3: Cross multiply
   16,684x = 39,380 × 39,380
4. Step 4: Simplify right side
   16,684x = 1,550,784,400
5. Step 5: Solve for x
   x = 1,550,784,400/16,684
6. Step 6: Final answer
   x = 92,950.40