Finding the Third Proportional to 16,210 and 35,822

Step by Step Solution

1. Step 1: Write the proportion equation
   16,210 : 35,822 = 35,822 : x
2. Step 2: Convert to fraction form
   16,210/35,822 = 35,822/x
3. Step 3: Cross multiply
   16,210x = 35,822 × 35,822
4. Step 4: Simplify right side
   16,210x = 1,283,215,684
5. Step 5: Solve for x
   x = 1,283,215,684/16,210
6. Step 6: Final answer
   x = 79,161.98