Finding the Third Proportional to 16,335 and 35,783

Step by Step Solution

1. Step 1: Write the proportion equation
   16,335 : 35,783 = 35,783 : x
2. Step 2: Convert to fraction form
   16,335/35,783 = 35,783/x
3. Step 3: Cross multiply
   16,335x = 35,783 × 35,783
4. Step 4: Simplify right side
   16,335x = 1,280,423,089
5. Step 5: Solve for x
   x = 1,280,423,089/16,335
6. Step 6: Final answer
   x = 78,385.25