Finding the Third Proportional to 16,182 and 35,536

Step by Step Solution

1. Step 1: Write the proportion equation
   16,182 : 35,536 = 35,536 : x
2. Step 2: Convert to fraction form
   16,182/35,536 = 35,536/x
3. Step 3: Cross multiply
   16,182x = 35,536 × 35,536
4. Step 4: Simplify right side
   16,182x = 1,262,807,296
5. Step 5: Solve for x
   x = 1,262,807,296/16,182
6. Step 6: Final answer
   x = 78,037.78