Finding the Third Proportional to 16,296 and 35,636

Step by Step Solution

1. Step 1: Write the proportion equation
   16,296 : 35,636 = 35,636 : x
2. Step 2: Convert to fraction form
   16,296/35,636 = 35,636/x
3. Step 3: Cross multiply
   16,296x = 35,636 × 35,636
4. Step 4: Simplify right side
   16,296x = 1,269,924,496
5. Step 5: Solve for x
   x = 1,269,924,496/16,296
6. Step 6: Final answer
   x = 77,928.60