Finding the Third Proportional to 12,822 and 30,435

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822 : 30,435 = 30,435 : x
2. Step 2: Convert to fraction form
   12,822/30,435 = 30,435/x
3. Step 3: Cross multiply
   12,822x = 30,435 × 30,435
4. Step 4: Simplify right side
   12,822x = 926,289,225
5. Step 5: Solve for x
   x = 926,289,225/12,822
6. Step 6: Final answer
   x = 72,242.18