Finding the Third Proportional to 23,822 and 35,033

Step by Step Solution

1. Step 1: Write the proportion equation
   23,822 : 35,033 = 35,033 : x
2. Step 2: Convert to fraction form
   23,822/35,033 = 35,033/x
3. Step 3: Cross multiply
   23,822x = 35,033 × 35,033
4. Step 4: Simplify right side
   23,822x = 1,227,311,089
5. Step 5: Solve for x
   x = 1,227,311,089/23,822
6. Step 6: Final answer
   x = 51,520.07