Finding the Third Proportional to 24,182 and 35,812

Step by Step Solution

1. Step 1: Write the proportion equation
   24,182 : 35,812 = 35,812 : x
2. Step 2: Convert to fraction form
   24,182/35,812 = 35,812/x
3. Step 3: Cross multiply
   24,182x = 35,812 × 35,812
4. Step 4: Simplify right side
   24,182x = 1,282,499,344
5. Step 5: Solve for x
   x = 1,282,499,344/24,182
6. Step 6: Final answer
   x = 53,035.29