Finding the Third Proportional to 16,784 and 39,200

Step by Step Solution

1. Step 1: Write the proportion equation
   16,784 : 39,200 = 39,200 : x
2. Step 2: Convert to fraction form
   16,784/39,200 = 39,200/x
3. Step 3: Cross multiply
   16,784x = 39,200 × 39,200
4. Step 4: Simplify right side
   16,784x = 1,536,640,000
5. Step 5: Solve for x
   x = 1,536,640,000/16,784
6. Step 6: Final answer
   x = 91,553.86