Finding the Third Proportional to 16,784 and 35,566

Step by Step Solution

1. Step 1: Write the proportion equation
   16,784 : 35,566 = 35,566 : x
2. Step 2: Convert to fraction form
   16,784/35,566 = 35,566/x
3. Step 3: Cross multiply
   16,784x = 35,566 × 35,566
4. Step 4: Simplify right side
   16,784x = 1,264,940,356
5. Step 5: Solve for x
   x = 1,264,940,356/16,784
6. Step 6: Final answer
   x = 75,365.85