Finding the Third Proportional to 35,185 and 76,243

Step by Step Solution

1. Step 1: Write the proportion equation
   35,185 : 76,243 = 76,243 : x
2. Step 2: Convert to fraction form
   35,185/76,243 = 76,243/x
3. Step 3: Cross multiply
   35,185x = 76,243 × 76,243
4. Step 4: Simplify right side
   35,185x = 5,812,995,049
5. Step 5: Solve for x
   x = 5,812,995,049/35,185
6. Step 6: Final answer
   x = 165,212.31