Finding the Third Proportional to 16,165 and 35,238

Step by Step Solution

1. Step 1: Write the proportion equation
   16,165 : 35,238 = 35,238 : x
2. Step 2: Convert to fraction form
   16,165/35,238 = 35,238/x
3. Step 3: Cross multiply
   16,165x = 35,238 × 35,238
4. Step 4: Simplify right side
   16,165x = 1,241,716,644
5. Step 5: Solve for x
   x = 1,241,716,644/16,165
6. Step 6: Final answer
   x = 76,815.13