Finding the Third Proportional to 16,336 and 35,786

Step by Step Solution

1. Step 1: Write the proportion equation
   16,336 : 35,786 = 35,786 : x
2. Step 2: Convert to fraction form
   16,336/35,786 = 35,786/x
3. Step 3: Cross multiply
   16,336x = 35,786 × 35,786
4. Step 4: Simplify right side
   16,336x = 1,280,637,796
5. Step 5: Solve for x
   x = 1,280,637,796/16,336
6. Step 6: Final answer
   x = 78,393.60