Finding the Third Proportional to 16,536 and 35,868

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 35,868 = 35,868 : x
2. Step 2: Convert to fraction form
   16,536/35,868 = 35,868/x
3. Step 3: Cross multiply
   16,536x = 35,868 × 35,868
4. Step 4: Simplify right side
   16,536x = 1,286,513,424
5. Step 5: Solve for x
   x = 1,286,513,424/16,536
6. Step 6: Final answer
   x = 77,800.76