Finding the Third Proportional to 7,822 and 18,262

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822 : 18,262 = 18,262 : x
2. Step 2: Convert to fraction form
   7,822/18,262 = 18,262/x
3. Step 3: Cross multiply
   7,822x = 18,262 × 18,262
4. Step 4: Simplify right side
   7,822x = 333,500,644
5. Step 5: Solve for x
   x = 333,500,644/7,822
6. Step 6: Final answer
   x = 42,636.24